## anonymous one year ago 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.

1. anonymous

2. anonymous

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

3. anonymous

@jabez177

4. jabez177

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

5. geerky42

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

6. geerky42

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

7. anonymous

does that mean M<Q=180*?

8. anonymous

90*

9. geerky42

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.

10. anonymous

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

11. geerky42

First by solve for x.

12. geerky42

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

13. anonymous

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

14. anonymous

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

15. geerky42

Ok no problem

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