Quadrilateral OPQR is inscribed in circle N, as shown below. Which of the following could be used to calculate the measure of ∠OPQ?
m∠OPQ + (2x + 16)° = 180°
m∠OPQ = (6x − 4)° + (2x + 16)°
m∠OPQ + (x + 16)° + (6x − 4)°= 360°
m∠OPQ = (x + 16)° + (6x − 4)°

Question

Quadrilateral OPQR is inscribed in circle N, as shown below. Which of the following could be used to calculate the measure of ∠OPQ?
 m∠OPQ + (2x + 16)° = 180°
 m∠OPQ = (6x − 4)° + (2x + 16)°
 m∠OPQ + (x + 16)° + (6x − 4)°= 360°
 m∠OPQ = (x + 16)° + (6x − 4)°

jilltalks · Answer

http://learn.flvs.net/webdav/assessment_images/educator_geometry_v16/09_08_a1.gif

jilltalks · Answer

I think it is A but it could also be C.

princeharryyy · Answer

cookie error :)

welshfella · Answer

Opposite angles of a cyclic quadrilateral  add up to 180 degrees

welshfella · Answer

if <OPQ is opposite the angle value (26 + 16) then A is correct.
I cant see the diagram.

welshfella · Answer

* (2x + 16)

jilltalks · Answer

attachment

welshfella · Answer

OK  Do you think that A is correct giving the relation I posted?

jilltalks · Answer

Yes, thank you!!!

welshfella · Answer

Oh  . A will give you < OPQ as an expression in x

To find the measure of <OPQ  you need to find the value of x.

welshfella · Answer

So A can be used to find the measure of < OPQ  but you need to find the value of x first.

welshfella · Answer

To find x you take te other pair of opposite angles and solve following equation for x

x + 16 + 6x -4 = 180

welshfella · Answer

But A is the correct answer

princeharryyy · Answer

still need help @Jilltalks