Question

Use the image to answer the question.

Parallelogram upper R upper S upper T upper U is shown. Vertex upper R is on the top left. Vertex upper U is on the bottom left.

Ranger draws parallelogram RSTU
. If the interior angle measure of point S
is 95 degrees, which statement must be true?

(1 point)
Responses

The interior angle measure of point U
is 95 degrees.
The interior angle measure of point upper U is 95 degrees.

The measure of the interior angle at point T
is 95 degrees.
The measure of the interior angle at point upper T is 95 degrees.

The interior angle measure of point U
is 85 degrees.
The interior angle measure of point upper U is 85 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 (they add up to 180 degrees).

Given that angle S measures 95 degrees, the following statements can be analyzed:

- The interior angle at point U must equal the angle at point S (angle R) because they are opposite angles. Therefore, angle U is also 95 degrees.

- The interior angle at point T is supplementary to angle S, so angle T would be 180 - 95 = 85 degrees.

Based on this reasoning, the true statements would be:
- The interior angle measure of point U is 95 degrees.
- The measure of the interior angle at point T is 85 degrees.

The only choices that must be true are:
- The interior angle measure of point U is 95 degrees.
- The measure of the interior angle at point T is 85 degrees.

Since the question asks for which statement must be true, the correct choice is:
**The interior angle measure of point U is 95 degrees.**