Angle <EFGH is a trapezoid

Question

angle <H=68 degrees
angle <HEG=79 degrees
Calculate angle <FGE

Answer 1

Since angle <EFGH is a trapezoid, opposite angles are supplementary. Therefore, angle <EFGH = 180 - 68 = 112 degrees.

We also know that angle <HEG and angle <FGE are vertical angles, which means they are congruent. Therefore, angle <FGE = angle <HEG = 79 degrees.

Answer: <FGE = 79 degrees.