In the given figure, AB || CD and EF ⊥ AB. If EG is the transversal

1.	In the given figure, AB \|\| CD and EF ⊥ AB. If EG is the transversal such that ∠GED = 130°, find ∠EGF.
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 = 180^o By substituting the values ∠EGF + 130^o = 180^o On further calculation ∠EGF = 180^o – 130^o By subtraction ∠EGF = 50^o Therefore, ∠EGF = 50^o

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

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 = 180^o

By substituting the values

∠EGF + 130^o = 180^o

On further calculation

∠EGF = 180^o – 130^o

By subtraction

∠EGF = 50^o

Therefore, ∠EGF = 50^o