Question

angle rst is a right angle. angle rsu has a measure of 25°. what is the measure of angle tsu? 25° 45° 65° 75°

Explanation:

Step1: Use the property of right - angle

Since \(\angle RST = 90^{\circ}\) and \(\angle RST=\angle RSU+\angle TSU\).

Step2: Substitute the known value

We know that \(\angle RSU = 25^{\circ}\), then \(\angle TSU=\angle RST-\angle RSU\).
Substitute \(\angle RST = 90^{\circ}\) and \(\angle RSU = 25^{\circ}\) into the formula: \(\angle TSU=90^{\circ}- 25^{\circ}\).

Step3: Calculate the result

\(90^{\circ}-25^{\circ}=65^{\circ}\)

Answer:

\(65^{\circ}\) (the third option)