Question

RSTU is a parallelogram.

What is the measure of ∠UST?

Enter your answer in the box.

Answer 1

∠UST = 95°

Explanation:

In the given parallelogram,

Sides RS and UT are parallel and SU is transverse.

So, ∠RSU ≅ ∠SUT ≅ 25° [Alternate angles]

We know sum of all angles in a triangle is 180°.

Therefore, in ΔSUT,

∠UST + ∠STU + ∠TUS = 180°

∠UST + 60° + 25° = 180°

∠UST + 85° = 180°

∠UST = 180° - 85°

∠UST = 95°

Therefore, ∠UST = 95° will be the answer.

Answer 2

The answer is 95
Angles ∠UTS and ∠URS are equal = 120
The parallelogram is 360 degrees so,
360-120= 240
240 is both ∠RST and ∠RUT so divide it by 2= 120
∠UST= ∠RST-∠USR
∠UST= 120-25
∠UST= 95