Question

practice solving problems involving complementary and supplementary angles. 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: Define supplementary angles

Supplementary angles sum to $180^\circ$ (form a straight line).

Step2: Analyze each pair

• $\angle1$ and $\angle2$: Sum is less than $180^\circ$, not supplementary.
• $\angle4$ and $\angle3$: They form a right angle, sum to $90^\circ$, not supplementary.
• $\angle4$ and $\angle5$: They form a straight line, sum to $180^\circ$, supplementary.
• $\angle7$ and $\angle5$: They form a straight line, sum to $180^\circ$, supplementary.
• $\angle3$ and $\angle6$: They form a straight line, sum to $180^\circ$, supplementary.

Answer:

$\boldsymbol{\angle4 \text{ and } \angle5}$, $\boldsymbol{\angle7 \text{ and } \angle5}$, $\boldsymbol{\angle3 \text{ and } \angle6}$