Question

Please help me I tried I got a 60

Answer 1

X = 90 , Y = 37 and Z = 53 Degrees.

Explanation:

Z = 53 as opposite angles of a parallelogram are equal

Therefore, Z + Y + 90 = 180 ( Angle sum Property of a triangle)

= 53 + Y + 90 = 180
Y = 180 - 143
Y = 37

Now to find x , we know Y is the Alternate Interior angle of the angle adjacent to the 90*

Keeping that angle as "o"

Angle O = Angle Y by Alternate Interior Angle Therom

Therefore , Angle X + Angle O + 53 = 180 (ASP of triangle)

Angle X + 37 + 53 = 180

Angle X = 180 - 90
Angle X = 90*


In summary , X = 90 , Y = 37 and Z = 53.

Hope it helps.