Which of the following statements must be true about this diagram? Check all that apply.

A. m1 + m2 = m4

B. m1 + m2 = m3

C. m4 is greater than m2

D. m4 is greater than m1

E. m3 is greater than m2

F. m2 + m3 = m4

By looking at the diagram:

m3 = 180-m4

sum of the angles = m1 + m2 + m3 = 180 degrees

substituting the value of m3:

m1 + m2 + (180 - m4) = 180

m4 = 180 - m3

m1 + m2 + (180 - m4) - (180-m4) = 180 - (180-m4)

Hence:

m1 + m2 = m4

so the right answers after concluding from the above calculations is:

A. m1 + m2 = m4

C. m4 is greater than m2

D. m4 is greater than m1