Question

m ozp=4r+2,m pzq=5r-12, and m ozq=125. What are m ozp and m pzq

Answer 1

Answer:  ∠OZP = 62     ∠PZQ = 63

Step-by-step explanation:

Use the Angle Addition Postulate

∠OZP  +  ∠PZQ  =  ∠OZQ

(4r + 2) + (5r - 12) = 125

                9r - 10 = 125

                9r        = 135

                         r = 15

∠OZP = 4r + 2

          = 4(15) + 2

          =  60 + 2

          =   62

∠PZQ = 5r - 12

          = 5(15) - 12

          =  75 - 12

          =  63