The measures of ∠x and ∠y are equal. Which is the value of m?

m = 32

Step-by-step explanation:

We have ∠x = 3(m+2) and ∠y = (5m -58)

As ∠x is equal to ∠y, so that:

3 x (m+2) = 5m -58

=> 3m + 6 = 5m - 58

=> 6 + 58 = 5m - 3m

=> 64 = 2m

=> m = 64/2 = 32

To check if this is true, we check the value of m = 32 in the equation to calculate ∠x and ∠y

With m =32, put it in the equations ∠x = 3(m+2) and ∠y = (5m -58), we would have:

+) ∠x = 3(32+2) = 3 x 34 = 102

+  ∠y = 5 x 32 -58 = 160 -58 = 102

=> ∠x  = ∠y => m =32 is true

the answer is c)8

step-by-step explanaction:

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right