One angle of a parallelogram measures 86°. What are the measures of the other three angles

in the parallelogram

1 answer

Since opposite angles of a parallelogram are congruent, the opposite angle to the 86° angle is also 86°. Therefore, the total of these two angles is 172°.

Since the sum of the angles in a parallelogram is 360°, we can find the sum of the other two angles by subtracting 172° from 360°:

360° - 172° = 188°

Since the opposite angles are congruent, the other two angles also have the same measure, let's call this x:

x + x = 188°

2x = 188°

x = 94°

Therefore, the other three angles in the parallelogram measure 86°, 86°, and 94°.