Provide reasons for the proof. Given: angle 2=4 and 2 and 3 are supplementary Prove: angle 1=3 Statement:

Question

Provide reasons for the proof.

Given: angle 2=4

and 2 and 3 are supplementary

Prove: angle 1=3

Statement: Reason

1. 2=4 1. Given

2. m2=m4 2. Angle congruence postulate

3. angles 2 and 3 are supplementary 3. Given

4. m2+m3=180 4. Definition of supplementary angles

5. angles 1 and 4 are supplementary 5. Fill in blank

6. m1+m4=180 6. Definition of supplementary angles

7. m1+m4=m2+m3 7. Fill in blank

8. m1+m4=m4+m3 8. Fill in blank

9. m1=m3 9. Fill in blank

10. 1=3 10. Fill in blank

Answer 1

7 and 8 are both substitution property of equality

9 is the subtraction propert of equality.

I bet you can figure out 10 yourself.

Go!

Answer 2

I take it <2=4°. If so; <2+<3=180°; <2=176°.

I don't know what to tell you about <1.