Question

R S (1 point) U T Ranger draws parallelogram RSTU. If the interior angle measure of point S is 95 degrees, which statement must be true? The interior angle measure of point U is 95 degrees. The interior angle measure of point U is 85 degrees. The measure of the interior angle at point T is 95 degrees. The interior angle measure of point R is 95 degrees.

Answer 1

In a parallelogram, opposite angles are equal and consecutive angles are supplementary (meaning they add up to 180 degrees).

Given that the interior angle at point S is 95 degrees, we can deduce the following:

1. Since angle S is 95 degrees, the opposite angle R (which is also the angle at point R) is also 95 degrees.

2. The angles next to angle S, which are angles T and U, must be supplementary to angle S. Therefore, angle U (the angle next to S) can be calculated as follows:

   Angle U = 180 degrees - angle S = 180 degrees - 95 degrees = 85 degrees.

Thus, the measure of the interior angle at point U is 85 degrees.

So, the only statement that must be true is:

The interior angle measure of point U is 85 degrees.