Question

Find the values of the variables in the parallelogram. The diagram is not drawn to scale. Use theorems involving parallel lines and the the sum of the angles of a triangle.

Answer 1

Y=52(alternate interior angles)

X+y+z= x+52+72=180

= x+ 124=180

= x = 180-124=56

X=56

Z= 72 ( opposite angles of parallelogram)

Thus it is the last option

X=56 , y=52 , z = 72