Question

Select the correct answer from each drop-down menu.

ABCD is a parallelogram.

M M M

Answer 1

m∠x = 63°

m∠y =45°

m∠z = 72°

I hope this helps! :)

Answer 2

Explanation:

It is given that ABCD is a parallelogram, thus by using the properties of parallelogram, we have

∠A=∠C (Opposite angles of parallelogram are equal)

⇒∠x=63°

Thus, the measure of angle A that is x is 63°.

Now, ∠ABC+∠BCD=180°(Corresponding angles of parallelogram)

⇒∠ABD+∠DBC+63=180

⇒∠DBC=180-135

⇒∠DBC=45°

Thus, y=∠DBC=45° (Alternate angles)

and z=∠DBA=72° (Alternate angles)

Hence, the measure of angle x, y and z are 63°, 45° and 72° respectively.