46.4k views
2 votes
Given a parallelogram has an angle that measures 85 degrees, find the measure of the other angles.

1 Answer

5 votes

Final answer:

In a parallelogram, opposite angles are congruent. The measure of the opposite angle is also 85 degrees. The measure of the other two angles is 275 degrees each.

Step-by-step explanation:

In a parallelogram, opposite angles are congruent. Therefore, the measure of the opposite angle is also 85 degrees.

The sum of the measures of the angles in a parallelogram is always 360 degrees. So, to find the measure of the other two angles, we subtract the given angle from 360: 360 - 85 = 275.

Since opposite angles are congruent, the measure of the other two angles is 275 degrees each.

User Riya Travel
by
8.5k points