Math, asked by monika7610, 18 days ago

In each of the following figures,find x and y when AB||CD​

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Answers

Answered by bhavitchugh821
2

Answer:

(i) x = 64 degree (Alternate Interior Angles)

   y = 72 degree (Corresponding Angles)

(ii) x = 57 degree (Corresponding Angles)

    y = 63 degree (Alternate Interior Angles)

Step-by-step explanation:

Answered by mbansals2006
4

Answer:

i) x= 64° , y= 72°

ii) x= 57° , y= 63°

Step-by-step explanation:

i) AB||CD (given)

Angle ABC=Angle BCD (Alternate interior angles)

Angle B(64°) = Angle x

Therefore Angle x = 64°

Also x+y = Angle A + Angle B

64 + y = 72 + 64 (exterior angle property)

y = 72°

ii) AB||CD (given)

Angle ABC=Angle BCD (Alternate interior angles)

Angle B(63°) = Angle y

Therefore Angle y = 63°

Also x+y = Angle A + Angle B

x + 63 = 57 + 63

x = 57°

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