Question 1045533: If angle OZP = 4r+2,angle PZQ = 5r-12,and angle OZQ = 125 what are angle OZP and angle PZQ
Answer by ikleyn(52814)   (Show Source):
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If angle OZP = 4r+2,angle PZQ = 5r-12,and angle OZQ = 125 what are angle OZP and angle PZQ
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Angle OZQ = angle OZP + angle PZQ.
Or, in other words,
125 = (4r+2) + (5r-12), or
125 = 9r - 10,
9r = 135,
r =  = 15,
Angle OZP = 4r + 2 = 4*15 + 2 = 62 deg
Angle PZQ = 5r - 12 = 5*15 - 12 = 63 deg
Solved.
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