angle RUS with measure of 40 degrees and angle SUT with measure of y degrees

If ray US is an angle bisector of ∠RUT, find m∠RUT.

m∠RUT = 80°
m∠RUT = 40°
m∠RUT = 20°
m∠RUT = 10°

To find the measure of ∠RUT, we know that angle RUS has a measure of 40 degrees and angle SUT has a measure of y degrees.

Since ray US is an angle bisector of ∠RUT, it divides the angle into two congruent angles.

Therefore, the measure of ∠RUT is equal to the measure of ∠RUS and ∠SUT.

Since ∠RUS has a measure of 40 degrees, m∠RUT = 40°.

So, the correct answer is m∠RUT = 40°.