Question

1. Name a pair of vertical angles.

2. Name a pair of complementary angles.

3. Name a pair of supplementary angles.

Answer 1

Part 1) m<AEB=m<DEF

Part 2)
`m<AEB+m<BEC=90\°`

Part 3)
`m<AEC+m<CED=180\°`

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
`90\°` then the angles are complementary

In this problem

`m<AEB+m<BEC=90\°` -----> by complementary angles

Part 3)

we know that

If the sum of two angles is equal to
`180\°` then the angles are supplementary

In this problem

`m<AEC+m<CED=180\°` -----> by supplementary angles