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angle rst is a right angle. angle rsu has a measure of 25°. what is the…

Question

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

Explanation:

Step1: Recall right - angle property

A right angle measures 90°. So, $\angle RST=90^{\circ}$.

Step2: Use angle - addition relationship

We know that $\angle RST=\angle RSU+\angle TSU$. Given $\angle RSU = 25^{\circ}$ and $\angle RST = 90^{\circ}$, we can find $\angle TSU$ by subtraction. $\angle TSU=\angle RST-\angle RSU$.

Step3: Calculate the angle

$\angle TSU=90^{\circ}- 25^{\circ}=65^{\circ}$.

Answer:

$65^{\circ}$