Answer:
The angles of a parallelogram are 135°-45°-135°-45°
Step-by-step explanation:
we know that
In a parallelogram opposites angles are congruent and consecutive angles are supplementary
Remember that
The sum of a exterior angle and its interior angle is equal to 180 degrees
Let
x ----> the measure of one interior angle of parallelogram
y ----> the measure of the other interior angle of parallelogram
we have that
solve for x
<em>Find the measure of the other interior angle of parallelogram</em>
Remember that consecutive interior angles are supplementary
substitute the value of x
solve for y
therefore
The angles of a parallelogram are 135°-45°-135°-45°