Question

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

Explanation:

Step1: Identify the right angle

Angle \( RST \) is a right angle, so \( \angle RST = 90^\circ \).

Step2: Use angle addition property

We know that \( \angle RST=\angle RSU + \angle TSU \). We are given \( \angle RSU = 25^\circ \) and \( \angle RST = 90^\circ \). Let \( \angle TSU=x \). Then \( 90^\circ=25^\circ + x \).

Step3: Solve for \( x \)

Subtract \( 25^\circ \) from both sides: \( x = 90^\circ - 25^\circ = 65^\circ \).

Answer:

\( 65^\circ \)