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in Triangles by (44.3k points)

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

1 Answer

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Best answer

We know that AB || CD and GE is the transversal

From the figure we know that ∠EGF and ∠GED are interior angles

So we get

∠EGF + ∠GED = 180o

By substituting the values

∠EGF + 130o = 180o

On further calculation

∠EGF = 180o – 130o

By subtraction

∠EGF = 50o

Therefore, ∠EGF = 50o

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