Question

Given m||n, find the value of x

Answer 1

Answer:

(i)Here ∠HGB=∠AGE(vertically opposite angles)

∠HGB=110

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Now, for parallel lines l and m, with transversal t.

∠HGB+∠GHD=180

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(Angles on the same side of the transversal are supplementary)

110

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+∠GHD=180

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∠GHD=180

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−110

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=70

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(ii)For parallel lines l and m with transversal a

∠AIE=∠CJI (corresponding angles)

⇒x=100

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