Question

50 points! PLEASE HELP ME !!! I need this done asap!

Answer 1

Answer:

See Below.

Step-by-step explanation:

We want to write a paragraph proof to prove the following theorem:

If ∠N and ∠M are congruent and supplementary, then ∠N and ∠M are right angles.

Each sentence is numbered:

1) Because ∠N and ∠M are congruent, m∠M = m∠N by the definition of congruent angles.

2) Because ∠N and ∠M are supplementary, m∠M + m∠N = 180.

3) Substitute m∠M to m∠N to get m∠M + m∠M = 180, or 2m∠M=180.  

4) The Division Property of Equality then yields m∠M = 90.

5) Substitute m∠N for m∠M to get m∠N = 90.

6) By the definition of right angles, ∠N and ∠M are right angles.