## Angle RSU is complementary to angle UST. Angle QSR is congruent to angle RSU. Lines Q, R, U, and T extend from point S from left

Question

Angle RSU is complementary to angle UST. Angle QSR is congruent to angle RSU.

Lines Q, R, U, and T extend from point S from left to right. Angle R S T is a right angle.

Which statement is true about angles UST and QSR?

They are complementary.

They are supplementary.

They are congruent.

They are obtuse.

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Math
7 months
2021-10-15T21:07:28+00:00
2021-10-15T21:07:28+00:00 2 Answers
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## Answers ( )

Answer:Complimentary

Step-by-step explanation:i did it !

Given :Angle RSU is complementary to angle UST. Angle QSR is congruent to angle RSU.To Find : Which statement is true about angles UST and QSR?

They are complementary.

They are supplementary.

They are congruent.

They are obtuse.

Solution:Two Angles are Complementary when they add up to 90 degrees

Angles need not to be adjacent to each other

Angle RSU is complementary to angle UST

=> ∠RSU + ∠UST = 90°

Angle QSR is congruent to angle RSU.

=> ∠QSR = ∠RSU

=> ∠QSR + ∠UST = 90°

Hence

∠UST and ∠QSR are complementary.Learn more:

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