Find each of the following. QP , NP , m∠Q in degrees and m∠P in degrees

Question

MNPQ is a parallelogram. Suppose that MQ = 2, MN = 3, and m∠M = 120°.

Find each of the following.

(a )QP

(b) NP

(c) m∠Q in degrees

(d) m∠P in degrees

Answer 1

To solve this, you need to know the following properties of a parallelogram:

1. In a parallelogram, opposite sides are equal in length
2. In a parallelogram, opposite angles are equal in measure
3. In a parallelogram, adjacent angles are supplementary; that is, they sum to 180^o

See if you can answer the problems on your own using the above three properties.