Question

if m∠qps = 79, m∠rpt = 90, and m∠rps = 51, what is m∠qpt? enter your answer. m∠qpt = ?

Explanation:

Step1: Find m∠QPR

We know that m∠QPS = 79 and m∠RPS = 51. Since ∠QPS=∠QPR + ∠RPS, then m∠QPR=m∠QPS - m∠RPS. So, m∠QPR = 79 - 51=28.

Step2: Find m∠QPT

We know that m∠RPT = 90 and we just found m∠QPR = 28. Since ∠QPT=∠QPR+∠RPT, then m∠QPT = 28+90 = 118.

Answer:

118