Question

use the diagrams below to answer 25 - 29.

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 side and a common vertex. Diagrams A, B, C, D, F have angles that share a common side and a common vertex.

Step2: Recall vertical - angles definition

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

Step3: Recall complementary - angles definition

Complementary angles add up to 90°. Diagram C shows two angles that appear to be complementary.

Step4: Recall supplementary - angles definition

Supplementary angles add up to 180°. Diagram E shows two angles (45° and 135°) that are supplementary.

Step5: Recall linear - pair definition

A linear pair is a pair of adjacent angles whose non - common sides are opposite rays. Diagrams B, D, F show linear pairs.

Answer:

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