GIVE CONCLUSION AND REASON FOR THE FOLLOWING (angles)

Question

1. If a = b, and b = c
2. If m< 1 = m< 2, m< 2 = m < 3
3. .< 1 is supplementary to < 3,< 2 is supplementary to < 3
4. < CAD is a right angle, < GHI is a right angle
5. .If two angles are both congruent and supplementary

Answer 1

1. Conclusion: then a=c (Transitive prop.)
2. Conclusion: m<1 = m<3 (transitive prop)
3. Conclusion: m<1 = m<2 (If two angles are supplementary to the same angle, then the two angles are congruent)
4. Conclusion: then <CAD = <GHI (all right angles are congruent)
5. Conclusion: then the two angles are right angles.