Question

l and m are parallel to each other. If ∠b: ∠c = 2 : 3 then find measure of ∠h? *​

Answer 1

Step-by-step explanation:

let ∠a=2x and ∠b=3x

∠a+∠b=180

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(adjacent angles on straight line are supplementary)

⇒2x+3x=180

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⇒5x=180

∘

⇒x=

5

180

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=36

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Now ∠b=3x=3×36

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=108

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∠c=∠b (Vertically opposite angles)

⇒∠c=108

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m∣∣n and l is transversal

∴∠h=∠c (corresponding angles)

⇒∠h=108

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