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

40

64

116

140

Question

Quadrilateral OPQR is inscribed in circle N as shown below. What is the measure of ∠ROP?
 
 
  
   
40
 
   
64
 
   
116
 
   
140

anonymous · Answer

attachment

xapproachesinfinity · Answer

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

xapproachesinfinity · Answer

in inscribed quadrilateral the sum of opposing angles is 180

anonymous · Answer

anonymous · Answer

@xapproachesinfinity

xapproachesinfinity · Answer

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

xapproachesinfinity · Answer

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

xapproachesinfinity · Answer

so x=24

xapproachesinfinity · Answer

what do we do now?

anonymous · Answer

put 24 in for X?

xapproachesinfinity · Answer

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

xapproachesinfinity · Answer

that's the angle you re tryin the find

anonymous · Answer

sweet thanks