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.
Solution:
In the given figure, AB || CD and GE is the transversal.
∴ ∠GED + ∠EGF = 180° (Sum of adjacent interior angles on the same side of the transversal is supplementary)
⇒ 130° + ∠EGF = 180°
⇒ ∠EGF = 180° − 130° = 50°
Thus, the measure of ∠EGF is 50°
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