Question

1. if (mangle qpr = 120^{circ}) and (mangle qps = 60^{circ}), what is (mangle rps)?

Explanation:

Step1: Identify angle - relationship

We know that $\angle QPR=\angle QPS + \angle RPS$.

Step2: Rearrange the formula to solve for $\angle RPS$

$\angle RPS=\angle QPR-\angle QPS$.

Step3: Substitute the given values

Given $\angle QPR = 120^{\circ}$ and $\angle QPS=60^{\circ}$, then $\angle RPS=120^{\circ}- 60^{\circ}=60^{\circ}$.

Answer:

$60^{\circ}$