Final answer:
To find m, set the expressions for m1 and m4 equal to each other and solve for x. Then substitute the value of x to find m.
Step-by-step explanation:
To find m, we can set the given expressions for m1 and m4 equal to each other and solve for x:
(6x + 25)° = (10x - 11)°
Expand the expressions:
6x + 25 = 10x - 11
Combine like terms:
25 + 11 = 10x - 6x
36 = 4x
Divide both sides by 4:
x = 9
Now substitute this value of x back into either m1 or m4 to find m:
m = (6x + 25)° = (6(9) + 25)° = 59°