Answer:
x = 63°
y = 45°
z = 72°
Step-by-step explanation:
Points to remember
1). Opposite angles of a parallelogram are equal
2). Adjacent angles of a parallelogram are supplementary
3). Sum of angles of a triangle is 180°
To find the measures of given angles
ABCD is parallelogram.
m<C = m<C = x = 63°
Consider triangle ABD
m<A + m< B + m<D = 180
x + 72 + y = 180
y = 180 - ( 72 + x) = 180 - 135
y = 45°
Also y + z + m<C = 180
45 + z + 63 = 180
z = 180 - 108
z = 72°
