Question

1. how are the two angles related? a. adjacent b. complementary c. supplementary d. vertical 23. in the figure, the horizontal lines are all parallel to one another. ( a b = b c = c d ). find ( j m ). a. 4 b. 8 c. 12 d. 16

Explanation:

Step1: Check the sum of the two angles

The sum of the two angles \(32^{\circ}+148^{\circ}=180^{\circ}\)

Step2: Recall the definitions

• Adjacent angles: Angles that have a common side and a common vertex but their sum is not necessarily \(180^{\circ}\)
• Complementary angles: Angles whose sum is \(90^{\circ}\)
• Supplementary angles: Angles whose sum is \(180^{\circ}\)
• Vertical angles: Angles opposite each other when two lines cross

Since the sum of the two angles is \(180^{\circ}\), they are supplementary.

Answer:

C. supplementary