Question

Please help!!

2. Complete this proof using the two column proof method

Given: ABC is | ; <1 and <3 are complementary

Prove. <2 ≈ <3

(Hint: 7 statements with reasons will complete this proof)

Statements:

Reasons:

Answer 1

See proof

Explanation:

We have that
`\angle 1 + \angle 2 = 90^(\circ)` because
`\angle ABC` is
`\perp`.

We have that
`\angle 1 + \angle 3 = 90^(\circ)` because
`\angle 1` and
`\angle 2` are complementary.

We have that
`\angle 1 + \angle 2 = \angle 1 + \angle 3` because we can set the two equations equal to each other.

We have that
`\boxed{\angle 2 = \angle 3}` because we subtract
`\angle 1` from both sides.