Question

a.) if (mangle spr = 59) and (mangle spq = 121), what is (mangle qpr?) b.) if (mangle spr = 61) and (mangle spq = 122), what is (mangle qpr?)

Explanation:

Step1: Identify angle - relationship

We know that $\angle SPQ=\angle SPR+\angle QPR$. So, $\angle QPR=\angle SPQ - \angle SPR$.

Step2: Solve part a

Given $m\angle SPR = 59$ and $m\angle SPQ = 121$. Then $m\angle QPR=m\angle SPQ - m\angle SPR=121 - 59 = 62$.

Step3: Solve part b

Given $m\angle SPR = 61$ and $m\angle SPQ = 122$. Then $m\angle QPR=m\angle SPQ - m\angle SPR=122 - 61 = 61$.

Answer:

a. $m\angle QPR = 62$
b. $m\angle QPR = 61$