Answer
The measure of each angle is 60°, 60°, 120°, and 120°.
Work Step by Step
The sum of the measures of the angles of a
parallelogram is 360°. In the parallelogram,
angles A and D have the same measure as well as
angles C and B. If the measure of angle C is twice
the measure of angle A, find the measure of each
angle.
Lets call angles A and D x, and angles C and B y.
$2x+2y=360$
So, $x+y=180$
$y=2x$
$x+2x=180$
$3x=180$
$x=60°$
$y=2*60$
$y=120°$
Hence, the measure of each angle is 60°, 60°, 120°, and 120°.
