Q12 of 153 Page 129

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

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°


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