Question

In the figure, AB || CD. Find x and y.

A) x=33, y=131

B) x= 53, y= 131

C) x= 37, y= 147

D) x= 131, y= 53

Answer 1

Given Triangle is Right angled triangle

According to Angle Sum Property,

37 +90 + x= 180

127 + x= 180

x= 180 -127

x= 53

AB//CD ( given)

<ABD= y-4 = 180-x

y-4 = 180 -53

y-4 = 127

y= 127 +4 = 131

Hence B) x= 53, y= 131