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.

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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
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opposite pairs of angles of an inscribed quadrilateral add to 180° O + Q = 180° 2x + 2x + 4 = 180°
okay is that all?

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Other answers:

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

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