Question

Figure WXYZ is a parallelogram.

Which angle measures are correct? Check all that apply.
m∠X = 125°

m∠X = 55°

m∠W = 125°

m∠W = 55°

m∠Z = 125°

m∠Z = 55°

Answer 1

Angle X = 55
Angle W = 125
Angle Z = 55

Answer 2

The correct angle measures are: m∠X = 55°

, m∠W = 125° and m∠Z = 55°

The measure of angle Y is given as:

$\angle Y = 125^o$

The opposite angles of a parallelogram are equal.

This means that, angles W and Y have equal measures

So, we have:

• $\angle W = \angle Y$
• $\angle W = 125^o$

The adjacent angle of a parallelogram add up to 180 degrees.

So, we have:

• $\angle X = 180 - \angle Y$
• $\angle X = 180 - 125$
• $\angle X = 55$

Angles X and Z are equal because they are opposite angles.

So, we have:

$\angle Z = 55$

Hence, the correct angle measures are: m∠X = 55°

, m∠W = 125° and m∠Z = 55°

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