In parallelogram

MATHEMATICS · Subjective · CBSE · Mathematics · Quadrilaterals · Quadrilaterals

Problem

In parallelogram

EFGH

, the sides are

EF = (6p - 8)\text{ cm},\; FG = (4p + 2)\text{ cm}

and the perimeter is

80\text{ cm}

. The consecutive interior angles at

E

and

F

are

\angle E = (5q + 15)^\circ

and

\angle F = (7q - 9)^\circ

. (a) Find the values of

p

and

q

. (b) Determine the length of each side of

EFGH

. (c) Write the measure of each interior angle of the parallelogram.