Question

if st = sv = 90 and m∠suv = 69°, what is m∠sut? m∠sut = °

Explanation:

Step1: Recall angle - relationship

We know that $\angle SVT = 90^{\circ}$ and $\angle SUV=69^{\circ}$. Also, $\angle SVT=\angle SUV + \angle SUT$.

Step2: Solve for $\angle SUT$

We can rewrite the equation as $\angle SUT=\angle SVT-\angle SUV$. Substituting the given values: $\angle SUT = 90^{\circ}-69^{\circ}=21^{\circ}$.

Answer:

$21$