A. Is each of the given pairs of angles adjacent? If not, why?
∠ADI and ∠RDI ________________
∠ADP and ∠IDR ________________
∠IDR and ∠PDE ________________
B. Name the second angle in each pair of angles following the given conditions.
1. Complementary to ∠ADP ______________
2. Supplementary to ∠IDR _______________
3. Supplementary to ∠RDE _______________
4. Angles adjacent to ∠ADI _______________
∠ADI and ∠RDI ________________
∠ADP and ∠IDR ________________
∠IDR and ∠PDE ________________
B. Name the second angle in each pair of angles following the given conditions.
1. Complementary to ∠ADP ______________
2. Supplementary to ∠IDR _______________
3. Supplementary to ∠RDE _______________
4. Angles adjacent to ∠ADI _______________
Answers & Comments
Answer:
A.
∠ADI and ∠RDI is a pair of adjacent angles containing a common side.
∠ADP and ∠IDR are non-adjacent angles because it has no common side same with ∠IDR and ∠PDE are also non-adjacent angles.
B.
1. ∠ADP and ∠IDR are complementary angles since the m ∠ADP= 45 and m ∠IDR= 45 based on the definition of complementary angles where the sum of their degree is equal to 90.
2. ∠IDR and ∠IDP are supplementary angles since they are adjacent angles and form a linear pair, we can say that their measures when added is equal to 180.
3. ∠RDE and ∠PDE are supplementary angles because they are also adjacent angles and form a linear pair so we can say that their measures when added is equal to 180.
4. Angles adjacent to ∠ADI are ∠ADP and ∠IDR since ∠ADI and ∠IDR share a common side DI and ∠ADP share a common side ∠DA.