Respuesta :

Answer:

Part 1) m<AEB=m<DEF

Part 2) [tex]m<AEB+m<BEC=90\°[/tex]

Part 3) [tex]m<AEC+m<CED=180\°[/tex]

Step-by-step explanation:

Part 1)

we know that

Vertical Angles are the congruent angles opposite each other when two lines cross

so

In this problem

m<AEB=m<DEF-----> by vertical angles

Part 2)

we know that

If the sum of two angles is equal to [tex]90\°[/tex] then the angles are complementary

In this problem

[tex]m<AEB+m<BEC=90\°[/tex] -----> by complementary angles

Part 3)

we know that

If the sum of two angles is equal to [tex]180\°[/tex] then the angles are supplementary

In this problem

[tex]m<AEC+m<CED=180\°[/tex] -----> by supplementary angles