20

what are the values of x, y, z, m

x= 30

y=12

z=33

ABC =  60

CBF =170

EBF =  60

Step-by-step explanation:

EBF and ABC are vertical angles, which means they are equal

3y+24 = 2y+36

Subtract 2y from each side

3y-2y+24 = 2y-2y+36

y +24 = 36

Subtract 24 from each side

y+24-24 = 36-24

y = 12

x and 2y+36 are complementary angles,  they add to 90 degrees

x+2y+36 = 90

x + 2(12) +36 = 90

x+24+36 = 90

Combine like terms

x+60 = 90

Subtract 60 from each side

x+60-60=90-60

x = 30

5z+5 and 2y+36 are supplementary angles,  they add to 180 degrees

5z+5+2y+36 = 180

5z+5+2*12+36 = 180

5z+5+24+36 = 180

Combine like terms

5z + 65 =180

Subtract 65 from each side

5z+65-65 = 180-65

5z = 115

Divide by 5

5z/5 = 165/5

z=33

ABC = 3y+24

       =3(12)+24 = 36+24 = 60

CBF = 5z+5 = 5(33)+5 = 165+5=170

EBF = 2y+36 = 22*12+36 = 24+36 = 60

i think c. but don't trust it.

step-by-step explanation: