In the given figure, AB|| CD. Find the value of x. Also find the angles angle1
angle2 angle3
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Step-by-step explanation:
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
o
=> ∠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
o
∠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
o
∴ ∠1=∠5=∠3=∠7=108
o
and
∠2=∠6=∠4=∠8=71
o
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