anonymous
  • anonymous
Quadrilateral OPQR is inscribed inside a circle as shown below. What is the measure of angle Q? You must show all work and calculations to receive credit. Circle N is shown with an inscribed quadrilateral labeled OPQR. O is labeled 2x degrees. P is labeled y degrees. Q is labeled 2x plus 4 degrees. R is labeled 3y plus 8 degrees.
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
1 Attachment
anonymous
  • anonymous
opposite pairs of angles of an inscribed quadrilateral add to 180° O + Q = 180° 2x + 2x + 4 = 180°
anonymous
  • anonymous
okay is that all?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
solve for x then substitute into 2x + 4 to get Q
anonymous
  • anonymous
i dont know how to find x
anonymous
  • anonymous
start by combining like terms on the left. What's 2x + 2x?
anonymous
  • anonymous
well i do but where do i need to find the x. i mean in which equation?
anonymous
  • anonymous
4x
anonymous
  • anonymous
2x + 2x + 4 = 180
anonymous
  • anonymous
^ that's the equation you need to solve for x
anonymous
  • anonymous
After combining you have 4x + 4 = 180 Subtract 4 from both sides
anonymous
  • anonymous
left withx
anonymous
  • anonymous
on the right side left with 174 and on the left we have x
anonymous
  • anonymous
not it was 176
anonymous
  • anonymous
sorry
anonymous
  • anonymous
so 4x = 176 divide by 4
anonymous
  • anonymous
okay 4x minus 4 is x 180 minus 4 is 176
anonymous
  • anonymous
it is 44
anonymous
  • anonymous
right. So now we can find Q. Q = 2x + 4, so plug in 44 for x to get Q = 2(44) + 4
anonymous
  • anonymous
92
anonymous
  • anonymous
that's the answer
anonymous
  • anonymous
thank you
anonymous
  • anonymous
you're welcome

Looking for something else?

Not the answer you are looking for? Search for more explanations.