Problem

Complete the formal proof of the theorem.The supplement of an acute angle is an obtuse ang...

Complete the formal proof of the theorem.

The supplement of an acute angle is an obtuse angle. (HINT: Use of Section as a guide.)

Complete the formal proof of each theorem.

If two angles are supplementary to the same angle, then these angles are congruent.

Given:

∠1 is supp. to ∠ 2

∠ 3 is supp. to ∠ 2

Prove:

∠1 = ∠ 3

(HINT: See for help.)

Exercise 28

Complete the formal proof of each theorem.

If two angles are complementary to the same angle, then these angles are congruent.

Given:

∠1 is comp. to ∠ 3

∠ 2 is comp. to ∠ 3

Prove:

∠1 ≅ ∠ 2

PROOF

 

Statements

Reasons

 

1. ∠1 is comp. to ∠ 3

∠ 2 is comp. to ∠ 3

1. ?

 

2. m ∠ 1 + m ∠ 3 = 90

m ∠ 2 + m ∠ 3 = 90

2. ?

 

3. m ∠ 1 + m ∠ 3 = m ∠ 2 + m ∠ 3

3. ?

4. m ∠ 1 = m ∠ 2

4. ?

 

5. ∠ 1 ≅ ∠ 2

5. ?

 

Step-by-Step Solution

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