Question

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

(1 point)
Responses

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 R
is 95 degrees.
The interior angle measure of point upper R 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 U
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 the interior angle at point S measures 95 degrees:

1. The interior angle at point R (the opposite angle) is also 95 degrees.
2. The interior angle at point T (the consecutive angle) must then be 180 - 95 = 85 degrees.
3. The interior angle at point U (the opposite angle to T) must also be 85 degrees.

Therefore, the correct statement that must be true is:

**The interior angle measure of point U is 85 degrees.**