Question

In the diagram below, the horizontal lines are parallel. Find the value of x

Answer 1

x = 128°

Explanation:

the interior ∡ (created by the 2 parallel lines) adjacent to the 38° ∡ measures 142°

therefore, we know the measure of the alternate interior and exterior angles created by the parallel lines as well

the second 38° ∡ is vertical to the top angle of the little right triangle, so the angle that forms a linear pair with 'x' is 180-(90+38), or 52°

therefore, m∡x = 180-52, or 128°

Answer 2

x = 128 degrees

Explanation:

all triangles contain 180 degrees

the upper left corner angle is 52 degrees because 180 -90 - 38 = 52.

angle x is supplementary to 52 degrees so x = 180 -52 = 128 degrees