Honors Geometry Companion Book, Volume 1

3.1.2 Angles, Parallel Lines, and Transversals - Worksheet

Example 1: Find each angle measure. 1. m ∠ JKL

2. m ∠ BEF

G

127°

A

(7 x –14)°

B

L

C

x °

(4 x –19)°

E

K

J

D

F

H

3. m ∠ 1

1

Example 2: 4. The railing of a wheelchair ramp is parallel to the ramp. Find x and y in the diagram. ( Hint : Use the Alternate Interior Angles Theorem to write a system of equations and then solve.)

(5 x + 6 y )°

(4 x + 6 y )°

94°

86°

Example 3: Find each angle measure. 5. m ∠ CBY

A D

X

B

E Y Z

6 x ° (3 x + 9)°

C

139

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