In the given figure, AB||CD. Find the value of x.

Question

Philoid · Accepted Answer

x=20

Given AB||CD

Therefore,

= [Crossponding angles]

= 95° ___________________ (i)

In CD straight line,

⇒ +=180°

⇒ 115° + = 180°

⇒ = 65°

In triangle GHQ,

⇒ ∠QGH + ∠GHQ + ∠GQH = 180°

⇒ 95° + 65° + x = 180°

⇒ x = 20°