Question

y: concepts and connections (27.0821000) yl ic (spring)
complementary and supplementary angles
assignment active
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

Pair $\angle1$ and $\angle2$:

These are adjacent but do not form a straight line; their sum is not $180^\circ$.

Pair $\angle4$ and $\angle3$:

They form a straight line, so $\angle4 + \angle3 = 180^\circ$.

Pair $\angle4$ and $\angle5$:

They form a straight line, so $\angle4 + \angle5 = 180^\circ$.

Pair $\angle7$ and $\angle5$:

These are alternate interior angles, equal but not summing to $180^\circ$.

Pair $\angle3$ and $\angle6$:

They form a straight line, so $\angle3 + \angle6 = 180^\circ$.

Answer:

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