Answer:
Step-by-step explanation:
2. Conclusion: U is the mid point of RN.
Justification: From the figure, you can see that RU=UN which means U divides the line segment RN in two equal halves, thus by definition of mid point theorem, U is the mid point of RN.
3. From the given figure,
Conclusion: ∠7=∠5
Justification: From the figure, you can see that \overrightarrow{IK} bisects∠MIE. Therefore by the definition of bisector angle property, ∠MIK=∠KIE that is ∠7=∠5.
4. Conclusion: if l║m, and t is the transversal, then ∠3=∠7.
Justification: Since l║m and t is the transversal, then ∠3=∠7 as the alternate angles made by the transversal are equal.
5. Conclusion: If \overrightarrow{BD} bisects ∠ABC, then ∠ABD=∠DBC
Justification: Since, \overrightarrow{BD} bisects ∠ABC, then by the bisector angle property, \overrightarrow{BD} divides ∠ABC in two equal angles that is ∠ABD=∠DBC.
6. Conclusion: If ∠2+∠3= 180°,then ∠2 and ∠3 are supplementary angle pairs.
Justification: Since, ∠2 and ∠3 are supplementary angle pairs which are on the same side of the transversal t, their sum is equal to 180° that is ∠2+∠3= 180°.
