Question

In the diagram below, perpendicular lines e and g are intersected by line f. Based on the angle measures in the diagram, what is the value of x?

Answer 1

x = 43

Explanation:

the angle in the triangle is vertically opposite 47° and is congruent

the sum of the 3 angles in the triangle = 180° , then

90 + 47 + x = 180

137 + x = 180 ( subtract 137 from both sides )

x = 43