Question 1045449
angle OZP and angle PZQ combine to angle OZQ (this can be seen if you draw out the figure or use the figure given to you in the book)


So this means


(measure of angle OZP)+(measure of angle PZQ)=(measure of angle OZQ)


(m < OZP)+(m < PZQ)=(m <  OZQ)


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


4r+2+5r-12=125


9r-10=125


9r-10+10=125+10


9r+0=135


9r=135


9r/9=135/9


r = 15


----------------------------------


Now that we know that the value of r is r = 15, we can use this to find the angles


m < OZP = 4r+2
m < OZP = 4*15+2
m < OZP = 60+2
m < OZP = 62


m < PZQ = 5r - 12
m < PZQ = 5*15 - 12
m < PZQ = 75 - 12
m < PZQ = 63


----------------------------------------------
----------------------------------------------


Summary:
m < OZP = 62
m < PZQ = 63