Find the value of x in adjoining figure if l || m
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(i)Here ∠HGB=∠AGE(vertically opposite angles)
∠HGB=110 ∘
Now, for parallel lines l and m, with transversal t.
∠HGB+∠GHD=180 ∘
(Angles on the same side of the transversal are supplementary)
110 ∘ +∠GHD=180 ∘
∠GHD=180 ∘ −110 ∘
=70 ∘
(ii)For parallel lines l and m with transversal a
∠AIE=∠CJI (corresponding angles)
⇒x=100 ∘
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