SOLUTION: Circles M and K are congruent, arc QR is congruent to arc LN and arc OP is congruent to arc VW . Find x and y. circle M with chord QR, measuring x plus 2 and cho

Question 1082819: Circles M and K are congruent, arc QR is congruent to arc LN and arc OP is congruent to
arc VW . Find x and y.
circle M with chord QR, measuring x plus 2 and chord WV measuring y, circle K with chord LN measuring y and chord PO measuring 2x minus 1
Picture http://prntscr.com/fcammm
Answer by Edwin McCravy(20064) (Show Source): You can put this solution on YOUR website!


Since the circles are congruent, 
if the arcs are congruent, so are the
chords that subtend them,

So 
QR ≅ LN

and their measures are equal, so



Also
QR ≅ LN

and their measures are equal, so



So solve the system of equations for x and y
by substitution:



Edwin

RELATED QUESTIONS
Circles M and K are congruent, arc QR is congruent to arc LN and arc OP is... (answered by KMST)

Circles M and K are congruent, arc QR is congruent to arc LN and arc OP is... (answered by MathLover1)

Circles M and K are congruent, arc QR is congruent to arc LN . Find the length of (answered by MathLover1)

Hello, I would like some help completing this proof. The way my homework is set up is... (answered by mananth,ikleyn)

If measurement angle P is 40 and measurement Arc QR is 86 , find measurement arc... (answered by stanbon)

Line PQ is congruent to line RQ, the measure of arc PS = 45, and the measure of arc SR =... (answered by ikleyn)

how do you prove OP congruent to QR when the given is OP = MN and MN =... (answered by solver91311)

I do not understand proofs at all and I currently have a 60 in my geometry class because... (answered by josgarithmetic)

Let (answered by ikleyn)