Chapter 6.2, Problem 1CYU

a.

To determine

To determine $\angle MNP.$

Answer to Problem 1CYU

$\angle MNP={148}^{\circ }$

Explanation of Solution

Given information :

MNPQ is a parallelogram.

Here we can see that angle $\angle NMQ$ and $\angle MNP$ are consecutive angles of a parallelogram hence they are supplementary.

Therefore $\angle MNP={180}^{\circ }-{32}^{\circ }={148}^{\circ }$

b.

To determine

To determine $\angle MNP.$

Answer to Problem 1CYU

  $\angle MNP={125}^{\circ }$

Explanation of Solution

Given information :

MNPQ is a parallelogram.

Here we can see that angle $\angle MQP$ and $\angle MNP$ are opposite angles of a parallelogram hence they are equal.

Therefore $\angle MNP={125}^{\circ }$

c.

To determine

To determine $\angle MNP.$

Answer to Problem 1CYU

NP = 4.

Explanation of Solution

Given information :

MNPQ is a parallelogram.

MQ and NP are the opposite sides of a parallelogram. Opposite angles of a parallelogram are always equal.

Hence NP = 4.