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7-2. Angles. Course 2. Warm Up. Problem of the Day. Lesson Presentation. 7-2. Angles. Course 2. Warm Up Draw each figure. 1. line segment 2. line 3. ray 4. plane. 7-2. Angles. Course 2. Problem of the Day

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7 2

7-2

Angles

Course 2

Warm Up

Problem of the Day

Lesson Presentation


7 2

7-2

Angles

Course 2

Warm Up

Draw each figure.

1.line segment

2. line

3. ray

4. plane


7 2

7-2

Angles

Course 2

Problem of the Day

What is the measure of the smaller angle between the hour hand and the minute hand on a clock at eight o’clock?

120°


7 2

7-2

Angles

Course 2

Learn to identify angles and parts of angles.


7 2

7-2

Angles

Course 2

Insert Lesson Title Here

Vocabulary

angle

vertex

right angle

acute angle

obtuse angle

straight angle

complementary angles

supplementary angles


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Angles

A

Vertex

1

B

C

Course 2

An angleis formed by two rays

with a common endpoint. The

two rays are the sides of the

angle. The common endpoint is

is the vertex.

You can name an angle in three ways:

• with the capital letter at the vertex:

B,

•with the number inside the angle:

1,

•with three capital letters so that the letter

at the vertex is in the middle:

CBA

ABC or


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7-2

Angles

The measure of XYZ is 122°, or m XYZ = 122°.

Course 2

Angles are measured in degrees (°). You can use a protractor to measure an angle.


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Angles

STV

m STV = 55°

A.

XTU

B.

m XTU = 25°

Course 2

Additional Example 1A & 1B: Identifying Angle Measures

Give the measurement of each angle.


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Angles

WTU

C.

STX

D.

m STX = 155°

m STX = 55° + 60° + 40°

m WTU = 40° + 25°

m WTU = 65°

Course 2

Additional Example 1C &1D: Identifying Angle Measures

Give the measurement of each angle.


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Angles

STV

m STV = 35°

A.

W

V

XTU

B.

X

50°

55°

S

U

35°

40°

T

m XTU = 40°

Course 2

Insert Lesson Title Here

Try This: Example 1

Give the measure of each angle.


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Angles

W

V

X

50°

55°

WTU

C.

S

U

35°

40°

STX

D.

T

m STX = 140°

m STX = 35° + 55° + 50°

m WTU = 90°

m WTU = 50° + 40°

Course 2

Insert Lesson Title Here

Try This: Example 1 Continued

Give the measure of each angle.


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Angles

Course 2

An angle’s measure determines the type of

angle it is.

A right angle is an angle that

that measures exactly 90°. The

symbol indicates a right angle

An acute angle is an angle

that measures less than 90°

Anobtuse angle is an angle

that measures more than 90°

but less than180°

A straightangle is an angle

that measures 180°


7 2

7-2

Angles

Course 2

Additional Example 2: Classifying Angles

Tell whether each angle is acute, right, obtuse or straight.

A.

B.

C.

right angle

acute angle

obtuse angle


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7-2

Angles

Course 2

Insert Lesson Title Here

Try This: Example 2

Tell whether each angle is acute, right, obtuse, or straight.

B.

C.

A.

straight angle

obtuse angle

acute angle


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Angles

Course 2

If the sum of the measures of two angles is

90°, then the angles are complementary

angles. If the sum of the measures of two

angles is 180°, then the angles are

supplementary angles.


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Angles

m OMP = 30° and m OMR = 60°

N

Q

60°

90°

P

OMP and OMR are complementary.

M

30°

O

60°

R

Course 2

Additional Example 3A: Identifying Complementary and Supplementary Angles

Use the figure to name the following.

A. one pair of complementary angles

Since 30° + 60° = 90°,


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Angles

m RMO = 60° and m QMO = 90° + 30° = 120°

N

Q

60°

90°

P

Since 60° + 120° = 180°,

M

30°

O

60°

R

RMO and QMO are supplementary.

Course 2

Additional Example 3B: Identifying Complementary and Supplementary Angles

Use the figure to name the following.

B. one pair of supplementary angles


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Angles

m OMP = 30° and m NMQ = 60°

N

Q

60°

90°

P

OMP and NMQ are complementary.

M

30°

O

60°

R

Course 2

Try This: Example 3A

Use the figure to name the following.

A. one pair of complementary angles

Since 30° + 60° = 90°,


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Angles

m QMP = 90° and m PMR = 30° + 60° = 90°

N

Q

60°

90°

P

Since 90° + 90° = 180°,

M

30°

O

60°

R

QMP and PMR are supplementary.

Course 2

Try This: Example 3B

Use the figure to name the following.

B. one pair of supplementary angles


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Angles

A

E

B

F

50°

C

40°

D

CFB

DFC and

Possible answer: EFA and AFB

Course 2

Insert Lesson Title Here

Lesson Quiz

Give the measure of each angle, and tell whether it is acute, obtuse, right, or straight.

AFB

90°; right

1.

140°; obtuse

AFC

2.

3.

DFC

40°; acute

4. Name a pair of complementary angles.

5. Name a pair of supplementary angles.


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