Basic Mathematics for College Students

26. In the figure below,. Which pairs of angles
    are congruent? See Example 3.

In Problems 27 and 28,. First find. Then determine the
measure of each angle that is labeled in the figure.
See Example 4.

In Problems 29 and 30,. First find. Then determine the
measure of each angle that is labeled in the figure.
See Example 5.

5 x + 5°

l 2 2 x

l 1

5 x

6 x + 70°

l 2

l 1

l 1 l 2 x

2 x + 10°

l^4 x – 10°

2

l 1

4 x – 8°

2 x + 16°

l 1 l 2

l 1 l 2 x

B

C

E

D

A

2

(^31)
4

AEBD TRY IT YOURSELF

31. In the figure below,. Find:
    a. , , , and
    b.
    c.


32. In the figure below,. Find , ,
    and.


33. In the figure below,. What pairs of angles
    are congruent? Explain your reasoning.

ABDE

A

C

1

30 °

60 °

E

D

B

m(1)

ABDE m(B)m(E)

l 1

50 ° 4

A B

D C

3

(^145) ° 2
m(1)m(ABC)m(4)
m(3)m(4)m(ACD)
m(1)m(2)m(3) m(4)
l 1 AB
9.2 Parallel and Perpendicular Lines 733

34. In the figure below,. Find.

15 x + 36 °

7 x + 1 °

l 2

l 1

l 1 l 2 x

A

B

C

D

(^1) E
2