Respuesta :

Answer: m = 16

Remember: the base angles of a trapezoid are congruent.

Form your equation.
4m + 1 = 2m + 33

Solve for m.
4m + 1 = 2m + 33             Subtract 1 from both sides
4m = 2m + 32                  Subtract 2m from both sides
2m = 32                           Divide by 2 to both sides
m = 16                              Answer!

You can also check your work.
4(16) + 1 = 2(16) + 33
64 + 1 = 32 + 33
65 = 65