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if (mangle qps = 109), (mangle rpt = 96), and (mangle rps = 53), what i…

Question

if (mangle qps = 109), (mangle rpt = 96), and (mangle rps = 53), what is (mangle qpt)? enter your answer.(mangle qpt=)

Explanation:

Step1: Find m∠QPR

m∠QPR=m∠QPS - m∠RPS
m∠QPR = 109 - 53=56

Step2: Find m∠QPT

m∠QPT=m∠QPR + m∠RPT
m∠QPT=56 + 96 = 152

Answer:

152