Question

Select the correct answer from each drop-down menu.

ABCD is a parallelogram.
mZx =
mZy =
mZz =
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Answer 1

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°

Answer 2

x = 63°

y = 45°

z = 72°

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°