Question

Find the measure of each angle.
The measure of one interior angle of a parallelogram is 0.25 times the measure of another angle.

Answer 1

Answer:  Two of the angles are 144°  The other two angles are 36°

Step-by-step explanation: The sum of the angles of a parallelogram is 360°

There are two pairs of equal angles.

Using that information, we can create an equation

2x + 2(0.25x) = 360

2x + .5x = 360

2.5x = 360 . Divide both sides by 2.5 to find the value of x:

x = 144° Substitute 144 for x in the expression for the smaller angles

.25(144) = 36°

Answer 2

The measure of the angles in the parallelogram are 144 and 36 degrees.

What is a parallelogram?

A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are of equal length and the opposite angles are also equal.

Angles in a parallelogram

a + b + c + d = 360

Opposite angles are equal, so

2a + 2(0.25a) = 360

2a + 0.5 = 360

2.5a = 360

a = 360/ 2.5

a = 144

the other angle = 180 - 144 = 36 degrees

To learn more about parallelograms, please check: https://brainly.com/question/17309595