WILL FAN, MEDAL, AND ADD TESTIMONIAL
Quadrilateral OPQR is inscribed in circle N, as shown below. What is the measure of ∠PQR?

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

Question

WILL FAN, MEDAL, AND ADD TESTIMONIAL
Quadrilateral OPQR is inscribed in circle N, as shown below. What is the measure of ∠PQR?

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

ishipdestiel · Answer

attachment

welshfella · Answer

opposite angles of a quadrilateral inscribed in a circle add up to 180 degrees

welshfella · Answer

therefore

x + 17 + 6x - 5 = 180

you now need to solve for x

then to find the measure of <PQR  you plug the values of x into 6x - 5

ishipdestiel · Answer

I understand that I think its either 67 or 41

welshfella · Answer

7x =  168
x = 24

<PQR = 6(24) - 5

welshfella · Answer

what does that come to?

welshfella · Answer

just grab your calculator  and work out 6 * 24 - 5

welshfella · Answer

its not 67 or 41

ishipdestiel · Answer

139

ishipdestiel · Answer

That was right. Thanks for the help