Question

Somebody help?! Finding an angle measure given a triangle and parallel lines.

Answer 1

x = 59

Explanation:

angle 115 and angle 56 + x are alternate angles and congruent, thus

56 + x = 115 ( subtract 56 from both sides )

x = 59

Answer 2

x = 59°

Explanation:

The angle marked 115° and the angle that is the sum of angles x and 56° are alternate interior angles, so have the same measure:

115° = x +56°

59° = x . . . . . . . subtract 56°