Question

b) Find the value of x in the following figure if I // m
110°​

Answer 1

Step-by-step explanation:

(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

∘

+∠GHD=180

∘

∠GHD=180

∘

−110

∘

=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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