Question

which angle pairs are supplementary? check all that apply

∠1 and ∠2
∠4 and ∠3
∠4 and ∠5
∠7 and ∠5
∠3 and ∠6

Explanation:

Step1: Recall the definition of supplementary angles

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

Step2: Analyze each pair

• For $\angle 1$ and $\angle 2$: Their sum is not $180^{\circ}$.
• For $\angle 4$ and $\angle 3$: Their sum is not $180^{\circ}$.
• For $\angle 4$ and $\angle 5$: $\angle 4+\angle 5 = 180^{\circ}$ (they form a linear - pair).
• For $\angle 7$ and $\angle 5$: $\angle 7+\angle 5 = 180^{\circ}$ (they form a linear - pair).
• For $\angle 3$ and $\angle 6$: Their sum is not $180^{\circ}$.

Answer:

$\angle 4$ and $\angle 5$, $\angle 7$ and $\angle 5$