SOLUTION: Write a two-column proof forth following: 1.If two angles are congruent and supplementary, then each is a right angle?

Question 919196: Write a two-column proof forth following:
1.If two angles are congruent and supplementary, then each is a right angle?
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

If two supplementary angle are congruent then, they are right angles
Given: <1 and <2 congruent
<1 and <2 are supplelmentary
Prove: <1 and <2 are right angles

Statements: .................................. Reasons
1) <1 and <2 congruent ----------------------------- Given
2) m <1 = m <2 ----------------------------- Definition of congruent angles
3) <1 and <2 are suppl. <'s ------- Given
4) m <1 + m <2 = 180 --------------- Def. of supplementary < �s
5) m <1 + m <2 = 180 --------------- Law of Substitution
6) 2m <1 = 180 ----------------------- Combination of similar terms
7) m <1 = 90 -------------------------- MPE
8) <1 is a right < -------------------- Def. of a right <
9) m <2 = 90 -------------------------- TPE
10) < 2 is a right < ------------------ Def. of a right <

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