Question

Select the correct answer from each drop-down menu.
ABCD is a parallelogram
M M M

Answer 1

x=63

z=72, y=45

Explanation:

Angles "z+y" and "x" add up to 180°, so they are supplementary angles.

angle B=72+b+63=180⇒b=180-135=45

angle B=72+45=117

angle A+angle B=180

x+117=180

x=180-117=63

angle D+angle A=180

z=72, y=45 alternate angles (opposite angle of parallelogram are congruent)

x+z=117 = angle B