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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:

Please help!! 2. Complete this proof using the two column proof method Given: ABC-example-1

1 Answer

5 votes

Answer:

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.

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