Question

in the given figure AB||CD find value of x​

Answer 1

answer is 110°

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thnq

Answer 2

First, let us draw a straight line through point E

Let,the line be XY

XY || CD , EF transversal

∠YEF = ∠EFC (Alternate Interior Angles)

∠YEF = 50°

∠AGE + ∠BGE = 180°(AB is a straight line)

∠AGE + 157° = 180°

∠AGE = 23°

AB || XY , EG transversal

∠GEY = ∠AGE (Alternate Interior Angles)

∠GEY = 23°

Therefore, x = ∠GEY + ∠YEF

x = 23°+50°

x = 73°

The value of x is 73°