Question

1. In the given figure, AB || PQ. Find the values of x and y
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Answer 1

Answer:

Given,

AB║PQ

We know ∠EFQ=75° (corresponding angles)

So,

y+25=75

⇒y=50.

And 75°+20°+∠GEF=180° (Linear pair)

⇒95+∠GEF=180

⇒∠GEF=85°.

Now,

∠EFG+∠FGE+∠GEF=180° (Angle sum property)

⇒25+85+x=180

⇒110+x=180

⇒x=70.

∴ Value of x=70

Value of y=50.