Answer:
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
