Question

If MNOP is a parallelogram,

find the measure of P.:

(5x – 11)°
(11x - 33)

please help! :)

Answer 1

`59^(\circ)`

Explanation:

Adjacent angles of a parallelogram are supplementary.

`5x-11+11x-33=180 \\ \\ 16x-44=180 \\ \\ 16x=224 \\ \\ x=14`

Opposite angles of a parallelogram are congruent.

`m\angle N =m\angle P \implies m\angle P=5(14)-11=59^(\circ)`