Question

Find the value of x for which a ll b. The find measure of the labeled angles

Answer 1

x = 54

Explanation:

If a and b are parallel then the 2 given angles are alternate exterior angles and are congruent, then

3x - 27 = 2x + 27 ( subtract 2x from both sides )

x - 27 = 27 ( add 27 to both sides )

x = 54

Then

3x - 27 = 3(54) - 27 = 162 - 27 = 135°

2x + 27 = 2(54) + 27 = 108 + 27 = 135°