## 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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7 months 2021-10-15T21:07:28+00:00 2 Answers 0 views 0

Complimentary

Step-by-step explanation:

i did it !

2. 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.