Question

one angle of a parallelogram measures 136°. what are the measures of the other three angles in the parallelogram? °, °, and °

Explanation:

Step1: Recall parallelogram angle - property

In a parallelogram, opposite angles are equal and adjacent angles are supplementary (sum to 180°).

Step2: Find an adjacent angle

Let the given angle $\theta = 136^{\circ}$. An adjacent angle $\alpha$ satisfies $\theta+\alpha = 180^{\circ}$. So, $\alpha=180 - 136=44^{\circ}$.

Step3: Determine the other angles

The angle opposite the given 136 - degree angle has a measure of 136° (opposite - angles are equal), and the angle opposite the 44 - degree angle has a measure of 44° (opposite - angles are equal).

Answer:

44, 136, 44