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: Check ∠1 and ∠2

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

Step3: Check ∠4 and ∠3

These form a straight line; sum = $180^\circ$.

Step4: Check ∠4 and ∠5

These form a straight line; sum = $180^\circ$.

Step5: Check ∠7 and ∠5

These are same-side interior angles of a triangle; sum ≠ $180^\circ$.

Step6: Check ∠3 and ∠6

These form a straight line; sum = $180^\circ$.

Answer:

∠4 and ∠3, ∠4 and ∠5, ∠3 and ∠6