Question

Can someone explain how I need to work this?

Answer 1

Quadrilateral OPQR is inscribed in circle N, as shown below. What is the measure of ∠QRO?

Quadrilateral OPQR is inscribed in circle N. Angle O is labeled x plus 17 degrees, angle Q is 6x minus 5 degrees, and angle R is 2x plus 19 degrees.

41
67
113
139

Answer 2

all angles add up to 360

Answer 3

opposing angles add up to 180

Answer 4

by some thrm i cant think of the name for:

and angle is half the measure of its subtend arc

arc(ABC) + arc(CDA) = 360

ang(B) = arc(CDA)/2

ang(D) = arc(ABC)/2

ang(B) + ang(D) = [arc(ABC) + arc(CDA)]\2

ang(B) + ang(D) = 360\2 = 180

Answer 5

so can you find x now?

Answer 6

For x, I got 16.5 repeating, but I don't think that's right.

Answer 7

O + Q = 180

x+17 + 6x-5 = 180

7x+12 = 180

7x = 168

yeah, your calculations are in error