Question

Quadrilateral OPQR is inscribed inside a circle as shown below. What equation would be needed to solve for angle R? What is the measure of angle R? You must show all work and calculations to receive credit.

Answer 1

@Hero @jim_thompson5910 @perl

Answer 2

hint: with any inscribed quadrilateral in a circle, the opposite angles always add to 180 degrees

that means

angle R + angle P = 180
(3y+8) + (y) = 180

Answer 3

Okay, i see that but i don't quite understand what to do cause im really confused on how to do this :/

Answer 4

you just have to solve 3y+8+y = 180 for y

Answer 5

3y+8+y = 180

4y+8 = 180 ... Combine like terms.

4y+8-8 = 180-8 ... Subtract 8 from both sides.

4y+0 = 172

4y = 172

...
...
...

y = ???

Answer 6

43?

Answer 7

yep

Answer 8

Yayy we got one(: now can you help me finish it ?

Answer 9

@jim_thompson5910 or are we done with the problem ?

Answer 10

now that you know the value of y, use it to compute angle R

Answer 11

How do i do that .. i dont know how . Can you help me work through it ?

Answer 12

what expression is shown for angle R

Answer 13

the (3y +8) ?

Answer 14

plug y = 43 into that and evaluate

Answer 15

So (3 * 43 +8)?

Answer 16

yes evaluate that

Answer 17

54?

Answer 18

no

Answer 19

that's too small

Answer 20

then im confused , once i do the (3*43+8) .. im lost what to do

Answer 21

how did you get 54 ?

Answer 22

Oh i missed calculated i meant the answer would be 137?

Answer 23

yes 137 is your answer

Answer 24

Thank you!! So are we done with this question then ?

Answer 25

yes

Answer 26

Thank you soo much for your help!!

Answer 27

you're welcome