Quadrilateral OPQR is inscribed inside a circle as shown below. What equation would be needed to solve for angle Q? What is the measure of angle Q? You must show all work and calculations to receive credit.

Question

anonymous · Answer

attachment

anonymous · Answer

@kropot72 @KendrickLamar2014 @Nnesha @IrishBoy123 @mathstudent55 @MikeyMaximum @Compassionate help explain it in steps?

anonymous · Answer

@jabez177

jabez177 · Answer

@mathstudent55 @pooja195 @geerky42 This is a bit too hard.

geerky42 · Answer

For ANY quadrilateral inscribled inside a circle, sum of opposite angles is always $180^\text o$.

geerky42 · Answer

$$m\angle R+m\angle P=180^\text o$$$$m\angle O+m\angle Q=180^\text o$$

anonymous · Answer

does that mean M<Q=180*?

anonymous · Answer

90*

geerky42 · Answer

No, not necessary.

We know that sum of angle O and Q is 180.

So we have $(2x) + (2x+4) = 180$

Same goes to angle P and R.

anonymous · Answer

so how do I find the measure of angle Q? (2x)+(2x+4)=180 do I do this?

geerky42 · Answer

First by solve for x.

geerky42 · Answer

after that, plug in x to find measure of angle.

anonymous · Answer

Oh wait I read my own question wrong. I just need to find the equation that would be needed to solve for angle Q

anonymous · Answer

Thank you for all the help I think I understand now!

geerky42 · Answer

Ok no problem