Question

Find the value of x for which a || b. Then find the measure of the labeled angles.

Answer 1

The measure of the labeled angles is 135°

Explanation:

we know that

if a || b

then

`(3x-27)\°=(2x+27)\°` -----> by alternate exterior angles

Solve for x

`3x-2x=27+27`

`x=54`

Find the measure of the labeled angles

`(3(54)-27)\°=135\°`