Question

before you continue, we recommend completing the day 2 activity
\practice makes progress\.
which angle pair is supplementary?
∠onl and ∠onp
∠qnp and ∠vuw
∠mnq and ∠qnp
∠mnq and ∠vuw

Explanation:

Step1: Recall the definition of supplementary angles

Supplementary angles are two angles whose sum is \(180^{\circ}\).

Step2: Analyze \(\angle MNQ\) and \(\angle VUW\)

First, find \(\angle MNQ\). In the first diagram, \(\angle MNQ = 50^{\circ}\). In the second diagram, \(\angle VUW=130^{\circ}\). Then calculate their sum: \(50^{\circ}+ 130^{\circ}=180^{\circ}\).

Step3: Analyze other options

• For \(\angle ONL\) and \(\angle ONP\): There is no information to suggest their sum is \(180^{\circ}\).
• For \(\angle QNP\) and \(\angle VUW\): \(\angle QNP = 40^{\circ}+50^{\circ}=90^{\circ}\), \(90^{\circ}+130^{\circ}

eq180^{\circ}\).

• For \(\angle MNQ\) and \(\angle QNP\): \(50^{\circ}+90^{\circ}

eq180^{\circ}\).

Answer:

\(\angle MNQ\) and \(\angle VUW\)