Answer:
m∠x = 63°
m∠y = 45°
m∠z = 72°
Step-by-step explanation:
Finding m∠x
Because AB║DC that means that ∠BAD (or ∠x) = ∠BCD, which means that
m∠x = m∠C
so, replacing m∠C with its degree in that equation (of sorts) leaves us with our answer
m∠x = 63°
Finding m∠y
m∠y = 180 - ∠B - ∠C --- All angles in a triangle add up to 180
m∠y = 180 - 72 - 63
So,
m∠y = 45°
Finding m∠z
Because this is a parralelogram we know that ∠y = ∠DBC and that ∠BDC = ∠ABD.
Because ∠BDC is ∠z then that means the following
m∠z = m∠ABD
substituting its given value into that we get
m∠z = 72°
Hope this helps.
