Question

Angle RSU is complementary to angle UST. Angle QSR is congruent to angle RSU. Which statement is true about angles UST and QSR? They are complementary. They are supplementary. They are congruent. They are obtuse.

Answer 1

i believe its complementary. just asked my teacher :-)

Answer 2

Given: Angle RSU is complementary to angle UST.

 and Angle QSR is congruent to angle RSU.

The congruent complements theorem states that if two angles are complementary to the same angle, then they are congruent.

We know that angle RSU is complementary to angle UST.

Also, it is given that angle QSR is congruent to angle RSU.

So, according to the congruent complements theorem for angle QSR to be congruent to angle RSU, angle UST and angle QSR should be complementary.

Therefore, angles UST and QSR are complementary.

So, Option 1 is the correct answer.