In the given figure, AB || CD and EF ⊥ AB. If EG is the transversal such that ∠GED = 130°, find ∠EGF.

Question

In the given figure, AB || CD and EF ⊥ AB. If EG is the transversal such that ∠ GED = 130°, find ∠ EGF.

Philoid · Accepted Answer

GEC = 180 – 130 = 50^O (linear pair of angles)

According to question,

AB || CD and EF is perpendicular to AB.

GEC = EGF (pair of alternate interior angles)

= 50^O