Complete the formal proof of the 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. ?
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