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Angles. MTH 3-17a. Revising Basic Angles. Naming Angles. Calculating Missing angles. Angles in a Triangle. www.mathsrevision.com. Corresponding Angles. Alternate Angles. Starter Questions. Q1. Convert to the 24 hour clock. (b) 6:50 am. (a) 7:25 pm. Q2. Write down the type of angle

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### Sum of Angles in a Triangle

### Sum of Angles in a Triangle

MTH 3-17a

Revising Basic Angles

Naming Angles

Calculating Missing angles

Angles in a Triangle

www.mathsrevision.com

Corresponding Angles

Alternate Angles

Created by Mr.Lafferty Math Dept

Q1. Convert to the 24 hour clock.

(b) 6:50 am

(a) 7:25 pm

Q2. Write down the type of angle

that is less than 90 deg.

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Q3. Calculate 2.34 + 4.7 + 0.12

Q4. Round the following to nearest 1000.

(a) 12,501

(b) 369,765

Created by Mr.Lafferty Math Dept

MTH 3-17a

Learning Intention

Success Criteria

- To be able to identify acute, right-angle, obtuse, straight line and reflex angles.

- To revise Type of Angles from Level 2.

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Created by Mr.Lafferty Math Dept

Horizontal

Type of Angles

MTH 3-17a

Acute

less than 90o

Obtuse

Between 90o – 180o

Right Angle

exactly 90o

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Straight Line Angle

exactly 180o

reflex

over 180o less than 360o

Created by Mr.Lafferty Math Dept

MTH 3-17a

Now try

Ch12 (page 146)

Exercise 1

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Created by Mr.Lafferty Math Dept

MTH 3-17a

Q1. Convert to the 12 hour clock.

(b) 05:40

(a) 17:15

Q2. Write down 2 numbers that add to give 8 and

multiply to give 15.

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Q3. Calculate 5.65 – 1.3

Q4. Round the following to nearest 100.

(a) 13,551

(b) 369,449

Created by Mr.Lafferty Math Dept

MTH 3-17a

Learning Intention

Success Criteria

- Remember how to name an angle.

- We are learning how we name angles by THREE capital letters with the angle sign.

- Understand the difference between the type of angle and the name of an angle.

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Created by Mr.Lafferty Math Dept

Naming Angles

MTH 3-17a

A

X

Y

B

Z

C

Type of angle is acute

Type of angle is obtuse

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Name of angle is ∠ ABC

Name of angle is ∠ ZYX

MIDDLE LETTER IS ALWAYS WHERE THE ANGLE IS

ALWAYS 3 CAPITAL LETTERS

Created by Mr.Lafferty Math Dept

MTH 3-17a

Now try

Ch12 (page 147)

Exercise 2

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MTH 3-17a

Learning Intention

Success Criteria

- We are learning to calculate a missing angle.

- Remember 360oin a circle.

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- Find missing angle given all other angles.

Created by Mr.Lafferty Math Dept

Find Missing Angle

65o

35o

95o

120o

34o

34o

MTH 3-17a

55o

115o

DEMO

Two angles making a

right angle add up to 90o

(Complementary angles)

Two angles making a

straight line add up to 180o

(Supplementary angles)

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146o

145o

146o

Angles round a point

always add up to 360o

Angles opposite each other

at a cross are equal.

Created by Mr.Lafferty Math Dept

Now try

Ch12 (page 149)

Exercise 3

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Learning Intention

Success Criteria

- Remember all angles in a triangle add to 180o.

- We are learning that all the angles in a triangle sum to 180o.

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- Apply knowledge to solve problems.

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angle sum of any Triangle

MTH 3-17a

Cut off corners

Cut off corners

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Cut off corners

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ALWAYS

added up to180o

Sum of angles in ANY Triangle

MTH 3-17a

DEMO

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180o

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38o

50o

MTH 3-17a

Copy out the following triangles and find the missing angles.

xo

87o

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xo

32o

xo

xo

Remember all the angles add up to 180o

Created by Mr.Lafferty Math Dept

MTH 3-17a

Now try

Ch12 (page 151)

Exercise 4

starter at Q3

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Starter Questions

Q1. Solve the equation below

Q2. Find two numbers that multiply to give 18

and subtract to give 3.

Q3. Find the average and range of the numbers below

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2,8,8,10

Q4. Find

Created by Mr.Lafferty Math Dept

Corresponding Angles

MTH 3-17a

Learning Intention

Success Criteria

- To understand the term corresponding angles.

- 1 We are learning the term corresponding angles.

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2. To be able to apply property to solve problems.

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Alternate Angles

MTH 3-17a

DEMO

Look for

F shapes

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= equal angles

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Corresponding Angles

MTH 3-17a

DEMO

Which angles are equal?

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Corresponding Angles

MTH 3-17a

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Which angles are equal?

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Corresponding Angles

MTH 3-17a

Which angles are equal to the shaded angle?

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MTH 3-17a

Which angles are equal to the shaded angle?

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Corresponding Angles

MTH 3-17a

look for

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shapes

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Corresponding Angles

MTH 3-17a

What is the value of letter x?

120

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120

x

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Corresponding Angles

MTH 3-17a

100

What is the value of letter a?

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100

a

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Corresponding Angles

MTH 3-17a

b

48

48

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What is the value of letter b?

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Corresponding Angles

MTH 3-17a

What is the value of letter c?

110

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110

c

Created by Mr.Lafferty Math Dept

Angles

Corresponding Angles

MTH 3-17a

70

What are the values of letters a and b?

b

110

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a

Created by Mr.Lafferty Math Dept

65

115

Angles

Corresponding Angles

MTH 3-17a

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What are the values of

the missing angles?

115

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Angles

Corresponding Angles

123

MTH 3-17a

57

What are the values of the missing angles?

123

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Corresponding Angles

MTH 3-17a

What are the values of the missing angles?

75o

65o

40o

115o

140o

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65o

40o

115o

140o

Created by Mr.Lafferty Math Dept

Corresponding Angles

MTH 3-17a

Now try Exercise 5 Ch12 (page 154)

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Starter Questions

MTH 3-17a

Q1. Solve the equation below

Q2. Find two numbers that multiply to give 48

and divide to give 3.

119o

Q3. Find missing angles

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bo

ao

Created by Mr.Lafferty Math Dept

Alternate Angles

MTH 3-17a

Learning Intention

Success Criteria

- To understand the term alternate angles.

- 1. We are learning the term alternate angles.

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2. To be able to apply property to solve problems.

Created by Mr.Lafferty Math Dept

Alternate Angles

MTH 3-17a

DEMO

Look for

- Z shapes

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= equal angles

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Alternate Angles

MTH 3-17a

Find the value of a ?

35

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a

35

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Alternate Angles

MTH 3-17a

b

43

Find the value of b ?

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43

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Alternate Angles

MTH 3-17a

Find the value of c ?

33

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c

33

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Alternate Angles

MTH 3-17a

123

Find the value of d ?

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d

123

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Alternate Angles

MTH 3-17a

50

Find the value

a and b ?

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130

b

a

50

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Alternate Angles

MTH 3-17a

135

Find the value

of c and d ?

c

45

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45

d

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Alternate Angles

MTH 3-17a

60

c

120

Find the value

a, b and c ?

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60

a

b

120

Created by Mr.Lafferty Math Dept

Alternate Angles

MTH 3-17a

Now try Exercise 6 Ch12 (page 157)

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