anonymous
  • anonymous
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.
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
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  • anonymous

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jabez177
  • jabez177
@mathstudent55 @pooja195 @geerky42 This is a bit too hard.
geerky42
  • geerky42
For ANY quadrilateral inscribled inside a circle, sum of opposite angles is always \(180^\text o\).
geerky42
  • geerky42
\[m\angle R+m\angle P=180^\text o\]\[m\angle O+m\angle Q=180^\text o\]
anonymous
  • anonymous
does that mean M
anonymous
  • anonymous
90*
geerky42
  • 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.
anonymous
  • anonymous
so how do I find the measure of angle Q? (2x)+(2x+4)=180 do I do this?
geerky42
  • geerky42
First by solve for x.
geerky42
  • geerky42
after that, plug in x to find measure of angle.
anonymous
  • 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
anonymous
  • anonymous
Thank you for all the help I think I understand now!
geerky42
  • geerky42
Ok no problem

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