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:
x = 43
Step-by-step 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