Question

Given: Line p is parallel to line r.

Prove: ∠1 is supplementary to ∠7.

Statement Reason
1. Line p is parallel to line r. 1.
2. ∠2≅∠7 2.
3. m∠2=m∠7 3.
4. ∠1 and ∠2 form a linear pair. 4.
5. ∠1 is supplementary to ∠2. 5.
6. m∠1+m∠2=180° 6.
7. m∠1+m∠7=180° 7.
8. ∠1 is supplementary to ∠7. 8.

Answer 1

Explanation:

What was the answer to this? I am working on the same problem

Answer 2

Given,

p and r are parallel lines,

We have to prove that : ∠1 is supplementary to ∠7.

Thus, the column prove would be,

Statement Reason

1. Line p is parallel to line r. 1. Given

2. ∠2≅∠7 2. Exterior alternate angle theorem,

3. m∠2=m∠7 3. Property of congruence,

4. ∠1 and ∠2 form a linear pair. 4. Adjacent angle on straight line,

5. ∠1 is supplementary to ∠2 5. Linear pair postulate

6. m∠1+m∠2=180° 6. Supplementary angle property

7. m∠1+m∠7=180° 7. Substitution property

8. ∠1 is supplementary to ∠7 8. Supplementary angle property