Answer:
Step-by-step 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.
