Question

FAN+MEDAL!!

Quadrilateral OPQR is inscribed inside a circle as shown below. What is the measure of angle R? 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.

Please help I don't umderstand..

Answer 1

anyone?

Answer 2

anyone going to help me plz??

Answer 3

opposite angles in an inscribed quadrilateral sum to 180 degrees, so...

2x + (2x + 4) = 180
(3y + 8) + y = 180

solve for x and y

Answer 4

oh okay thank you, anything else after that??

Answer 5

um, there's nothing more to tell you, all you need to do is solve the two equations

Answer 6

k workin on it now

Answer 7

well, actually, you can skip the first equation and just solve the second one

Answer 8

(3y + 8) + y = 180

find y

Answer 9

dang it

Answer 10

y=43 is that right?

Answer 11

yes, y = 43

now, the question wants the value of angle R, and angle R = 3y + 8, so R = ?

Answer 12

k workin on it...

Answer 13

how do u do it?? im having a total brain fart right now... hmm

Answer 14

omg i feel so stupid

Answer 15

y = 43

3y + 8 = 3(43) + 8 = ?

Answer 16

oh!! okay thx

Answer 17

it gives me 43 again..

Answer 18

3(43) = ?

Answer 19

129

Answer 20

so 3(43) + 8 = ?

Answer 21

137

Answer 22

yup, there's our final answer

Answer 23

thats it?? wow that was so much eaiser thn i thought

Answer 24

thank you very much for helping me out! i really appreciate it!