Question

Quadrilateral OPQR is inscribed in circle N as shown below. What is the measure of ∠ROP?




40


64


116


140

Answer 1

do know how much is the sum of angles in a quadrilateral

Answer 2

in inscribed quadrilateral the sum of opposing angles is 180

Answer 3

okay so how do I set it up? http://openstudy.com/study#

Answer 4

@xapproachesinfinity

Answer 5

well as i said before the opposing angle add up to 180
this way you can find what x is
so x+16+6x-4=180
7x=180-12
7x=168
x=186/7x=24

Answer 6

x=186/7 not what i wrote above haha typo

Answer 7

so x=24

Answer 8

what do we do now?

Answer 9

put 24 in for X?

Answer 10

yes!
X+16
24+16=40
and you are done!

Answer 11

that's the angle you re tryin the find

Answer 12

sweet thanks