In each of the following figures,find x and y when AB||CD
Answers
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:
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°
Hope I am able to help you
If you like my answer then pls mark me as a brainlist