Provide reasons for the proof.

Given:<2 ≅ <4

and <2 and <3 is supplementary

Prove: <1 ≅ <3

Statement Reason
1. < 2 ≅ <4 1. Given

2. m<2 = m<4 2. Angle congruence postulate

3. <2 and <3 are supplementary 3. Given

4. m<2 + m<3 = 180° 4. Definition of supplementary angles

5. <1 and <4 are supplementary 5.

6. m<1 + m<4 = 180° 6. Definition of supplementary angles

7. m<1 + m<4 = m<2 + m<3 7.

8. m<1 + m<4 = m<4 + m<3 8.

9. m<1 = m<3 9.

10. <1 ≅ <3 10.

Abdul is making a map of his neighborhood he knows the following information: his home, the middle school, and high school are all on the same street. his home, the elementry school, and his friends house are on the same street. the angle between the elementary school, middle school, and his home is congruent to the angle between his friends house, the high school, and his home. what theorem can abdul use to determine the two triangles are similar? a- side side side similarity theoremb- angle angle similarity theoremc- corresponding parts of similar triangles are congruentd- pieces of right triangles similarity theorem