Q

# Two adjacent angles of a parallelogram have equal measure. Find the measure of each of the angles of the parallelogram.

6. Two adjacent angles of a parallelogram have equal measure. Find the measure of each of the angles of the parallelogram.

Views

Given : Two adjacent angles of a parallelogram have equal measure = $\angle A= \angle B$.

$\angle A+ \angle B =180\degree$                 ( adjacent angles of a parallelogram are suplemantary)

$2\times \angle A =180\degree$

$\angle A =90\degree$

$\therefore$   $\angle A=\angle B =90\degree$

$\angle A=\angle C =90\degree$ and $\angle B=\angle D =90\degree$     ( Opposite angles of prallelogram are equal)

Hence,$\angle A=\angle B=\angle C=\angle D =90\degree$

Exams
Articles
Questions