Question

1. which diagram(s) show adjacent angles? __________
2. which diagram(s) show vertical angles? __________
3. which diagram(s) show complementary angles? __________
4. which diagram(s) show supplementary angles? __________
5. which diagram(s) show a linear pair? __________

Explanation:

Step1: Recall adjacent - angles definition

Adjacent angles share a common vertex and a common side. Diagrams C and F show adjacent angles.

Step2: Recall vertical - angles definition

Vertical angles are opposite each other when two lines intersect. Diagrams B, D, and F show vertical angles.

Step3: Recall complementary - angles definition

Complementary angles add up to 90°. Diagrams A and C show complementary angles (61°+29° = 90° in A and the right - angled pair in C).

Step4: Recall supplementary - angles definition

Supplementary angles add up to 180°. Diagrams E shows supplementary angles (45° + 135°=180°).

Step5: Recall linear - pair definition

A linear pair is a pair of adjacent angles whose non - common sides are opposite rays and they are supplementary. Diagram E shows a linear pair.

Answer:

1. C, F
2. B, D, F
3. A, C
4. E
5. E