The measures of ∠x and ∠y are equal. X is 3(m+2) and Y is 5m-58. Which is the value of m? A m=8 B m=26 C m=30 D m=32

Answer with step-by-step explanation:

M = 32

Step 1: Simplify both sides of the equation.

3(m+2)=5m−58

(3)(m)+(3)(2)=5m+−58(Distribute)

3m+6=5m+−58

3m+6=5m−58

Step 2: Subtract 5m from both sides.

3m+6−5m=5m−58−5m

−2m+6=−58

Step 3: Subtract 6 from both sides.

−2m+6−6=−58−6

−2m=−64

Step 4: Divide both sides by -2.

−2m/−2=−64/−2

m=32

Hope this helped! (brainliest please)

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)