Question

classify the angle pair \\( \angle v u w \\) and \\( \angle q n p \\) as complementary, supplementary, or neither. supplementary complementary neither before you continue, we recommend completing the day 2 activity \practice makes progress\

Explanation:

Step1: Find the measure of ∠VWU

Since ∠VWU and the \(100^{\circ}\) angle are vertical angles, they are equal. So \(m\angle VWU = 100^{\circ}\)

Step2: Find the measure of ∠QNP

\(m\angle QNP=90^{\circ}- 50^{\circ}=40^{\circ}\)

Step3: Check the sum of the two angles

\(m\angle VWU+m\angle QNP = 100^{\circ}+40^{\circ}=140^{\circ}\)
Complementary angles sum to \(90^{\circ}\) (\(a + b=90^{\circ}\)), and supplementary angles sum to \(180^{\circ}\) (\(a + b = 180^{\circ}\)). Since \(140^{\circ}
eq90^{\circ}\) and \(140^{\circ}
eq180^{\circ}\)

Answer:

Neither