Question

Which angle measures are correct? Select three options,

Answer 1

Answer:

m∠W = 125°

m∠X = 55°

m∠Z = 55°

Step-by-step explanation:

The shape is parallelogram WXYZ. m∠Y = 125.

A parallelogram is a quadrilateral shape in which both opposite sides and opposite angles are equal to each other. The diagonals of a parallelogram bisect each other. Also consecutive angles in a parallelogram are supplementary.

Therefore in parallelogram WXYZ:

m∠Z + m∠Y = 180° (Consecutive angles in a parallelogram are supplementary)

m∠Z + 125 = 180

m∠Z = 180 - 125

m∠Z = 55°

m∠W = m∠Y (Opposite angles are equal)

m∠W = 125°

m∠W + m∠X = 180° (Consecutive angles in a parallelogram are supplementary)

m∠X + 125 = 180

m∠X = 180 - 125

m∠X = 55°