Question

find m∠rsq. m∠rsq = °

Explanation:

Step1: Note right - angle property

We know that $\angle RSP = 90^{\circ}$.

Step2: Analyze angle addition

$\angle RSP=\angle RSQ+\angle QSP$. Also, $\angle QSP$ and the $36^{\circ}$ angle are vertical angles, so $\angle QSP = 36^{\circ}$.

Step3: Solve for $\angle RSQ$

Since $\angle RSP = 90^{\circ}$ and $\angle QSP=36^{\circ}$, then $\angle RSQ=\angle RSP - \angle QSP$. Substituting the values, we get $\angle RSQ=90^{\circ}- 36^{\circ}=54^{\circ}$.

Answer:

$54$