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the quadrilateral shown is a rectangle. what is m∠zwx? a 39° b 59° c 61°

Question

the quadrilateral shown is a rectangle. what is m∠zwx? a 39° b 59° c 61°

Explanation:

Step1: Recall rectangle properties

In a rectangle, diagonals are equal and bisect each other, so $\triangle ZMW$ is isosceles.

Step2: Find angle measure

If one base - angle of $\triangle ZMW$ is $61^{\circ}$, then $\angle ZMW=180^{\circ}- 2\times61^{\circ}=59^{\circ}$.

Answer:

B. $59^{\circ}$