Question

. In the given figure, AB || CD, find the value of angle 1 and angle 2​

Answer 1

Answer:

As per diagram AB∣∣CD

and we know that sum of angles in a straight line is 180

o

let the unknown angle be x

∠1:∠2=3x:2x

∠1+∠2=180

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3x+2x=180

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5x=180

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x=36

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=> ∠1=3×36

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=108

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=> ∠2=2×36

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=72

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We know that vertically opposite angles are equal.

∠1=∠3=108

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∠2=∠4=71

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We know that corresponding angles are equal.

∠1=∠5=108

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∠2=∠6=71

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∠4=∠8=71

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∠3=∠7=108

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∴ ∠1=∠5=∠3=∠7=108

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and

∠2=∠6=∠4=∠8=71

o

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