Question

if (mangle qps = 62), (mangle rpt = 72), and (mangle rps = 12), what is (mangle qpt)? enter your answer.(mangle qpt=)

Explanation:

Step1: Analyze angle relationships

We know that $\angle QPT=\angle QPS+\angle SPT$. Also, $\angle SPT=\angle RPT - \angle RPS$.

Step2: Calculate $\angle SPT$

Given $\angle RPT = 72$ and $\angle RPS=12$, then $\angle SPT=72 - 12=60$.

Step3: Calculate $\angle QPT$

Given $\angle QPS = 62$ and $\angle SPT = 60$, then $\angle QPT=62 + 60=122$.

Answer:

$122$