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## PowerPoint Slideshow about ' Pre-AP Bellwork' - ria-english

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Pre-AP Bellwork

6) Claire draws an angle that measures 56. Justin draws a congruent angle.

Justin says his angle is obtuse. Is he correct? Why or why not?

Pre-AP Bellwork

7) ∠MLN and ∠JLK are complementary, m∠MLN = 7x − 1, and

m∠JLK = 4x + 3.

a. Solve for x.

b. Find m∠MLN and m∠JKL.

c. Show how you can check your answer.

Pre-AP Bellwork

8)Describe all the situations in which the following statements are

true.

a. Two vertical angles are also complementary.

b. A linear pair is also supplementary.

c. Two supplementary angles are also a linear pair.

d. Two vertical angles are also a linear pair.

Pre-AP Bellwork

Find the measure of each angle in the angle pair described.

9) The measure of one angle is 5 times the measure of its complement.

10) The measure of an angle is 30 less than twice its supplement.

Adjacent angles- two coplanar angles with a common side, a common vertex, and no common interior points

Which angles are adjacent?

1& 2, 2& 3, 3& 4, 4& 1

Then what do we call 1& 3?

Vertical Angles – 2 angles that share a common vertex & whose sides form 2 pairs of opposite rays.

1& 3, 2& 4

2

1 3

4

Example

2

- Vertical angles?
1 & 4

- Adjacent angles?
1& 2, 2& 3,

3& 4, 4& 5, 5& 1

- Linear pair?
5& 4, 1& 5

- Adjacent angles not a linear pair?
1& 2, 2& 3, 3& 4

1 3

5 4

Important Facts

- Vertical Angles are congruent.
- The sum of the measures of the angles in a linear pair is 180o.

Example:

E

3x+5o y+20o

B

x+15o 4y-15o

D

- Find x,y
m ABE

m ABD

m DBC

m EBC

C

x=40

y=35

mABE=125o

m ABD=55o

m DBC=125o

m EBC=55o

Complementary Angles

- 2 angles whose sum is 90o

35o

1

2

55o

A

1 & 2 are complementary

A & B are complementary

B

Supplementary Angles

- 2 angles whose sum is 180o

1 & 2 are supplementary.

X & Y are supplementary.

1 2

130o 50o

X Y

Ex: A & B are supplementary. m A is 5 times m B. Find m A & m B.

m A + m B = 180o

m A = 5(m B)

Now substitute!

5(m B) + m B = 180o

6(m B)=180o

m B=30o

m A=150o

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