Answer:
Option D. y = (-5) is the answer.
Step-by-step explanation:
Two circles M and K are congruent.Arc QR is congruent to arc LN and arc OP is congruent to arc VW.
We have to find the value of y.
Since arc QR ≈ arc LN
Therefore, 2x - y = 11 ----------(1)
and arc WV ≈ arc PO
So, 5x + y = 10 ---------(2)
Now by solving equation 1 and equation 2 we will get the value of y.
To solve the equations we will multiply equation 1 by 5 and equation 2 by 2 first, then we will subtract equation 1 from 2.
2(5x + y) - 5(2x - y) = 10×2 - 11×5
10x + 2y - 10x + 5y = 20 - 55
7y = -35
y = (-5)
y = (-5) is the answer.
