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

m<X=55° hope this helps

Answer 2

Hence, the correct answer is:

• m∠X=55°
• m∠Z=55°
• m∠W=125°

Explanation:

We know that consecutive angles of a parallelogram are supplementary.

As m∠Y=125°.

Hence, by the above property we have:

m∠Y+m∠X=180°

125°+m∠X=180°

Hence, m∠X=180°-125°

⇒ m∠X=55°

Also,

m∠Y+m∠Z=180°

⇒ 125°+m∠Z=180°

⇒ m∠Z=180°-125°

⇒ m∠Z=55°

Also, m∠Z+m∠W=180°

⇒ 55°+m∠W=180°

⇒ m∠W=180°-55°

⇒ m∠W=125°