Question

Figure MNOP is a parallelogram.

A parallelogram. Angle M is 95 degrees. Angle O is opposite to angle M.

What are the measures of the three remaining angles?
Measure of angle O is degrees.
Measure of angle N is degrees.
Measure of angle P is degrees.

Answer 1

Angle O measures 95 degrees while angles N and P each measure 85 degrees, as adjacent angles in a parallelogram are supplementary.

Step-by-step explanation:

Since figure MNOP is a parallelogram, angle M and angle O are opposite angles, therefore they are equal. Given that angle M is 95 degrees, angle O is also 95 degrees. The remaining angles, angle N and angle P, are the adjacent angles to angle M and angle O. In a parallelogram, adjacent angles are supplementary, meaning they add up to 180 degrees. Thus, the measure of angle N and angle P is 180 degrees minus 95 degrees, which is 85 degrees. Therefore, angles N and P both measure 85 degrees.