Question

ranger draws parallelogram rstu. if the interior angle measure of point s is 95 degrees, which statement must be true? (1 point) the interior angle measure of point u is 95 degrees. the measure of the interior angle at point t is 95 degrees. the interior angle measure of point u is 85 degrees. the interior angle measure of point r is 95 degrees.

Explanation:

Step1: Recall parallelogram angle - properties

In a parallelogram, opposite angles are equal and adjacent angles are supplementary (sum to 180 degrees). Angle $S$ and angle $U$ are adjacent, and angle $S$ and angle $R$ are opposite.

Step2: Calculate the measure of adjacent angle

Since $\angle S+\angle U = 180^{\circ}$ and $\angle S=95^{\circ}$, then $\angle U=180 - 95=85^{\circ}$.

Step3: Identify equal - opposite angle

Since $\angle S=\angle R$ (opposite angles of a parallelogram), $\angle R = 95^{\circ}$.

Answer:

The interior angle measure of point $R$ is 95 degrees.