Question

Lines g, h, and l are parallel and m< 2 = 132°.

What is m 8?

A 48 degrees

B 52 degrees

C 128 degrees

D 132 degrees

Answer 1

A
`\displaystyle 48\:degrees`

Explanation:

If you take a look at m∠8 & m∠6 and m∠4 & m∠2, they all form linear pairs, and linear pairs sum up to 180°, and m∠6 and m∠2 are in correspondence with each other [equivalent angle measures], according to the Angle Correspondence Theorem:

180° = 132° + m∠8

- 132° - 132°

____________________

`\displaystyle 48° = m∠8`

I am joyous to assist you anytime.

Answer 2

m < 2 and m < 6 are corresponding angles and are equal....so < 6 = 132.

< 6 and < 8 form a line and are equal to 180

< 6 + < 8 = 180
132 + < 8 = 180
< 8 = 180 - 132
< 8 = 48 <===