Question

spiral review · assessment readiness
abcd is a parallelogram. which of the following pairs of angle measures could be the measures of ∠a and ∠b?
select all that apply.
show hints
□ 32°, 148°
□ 45°, 45°
□ 100°, 100°
□ 63°, 117°
□ 90°, 90°
□ 60°, 110°

Explanation:

Step1: Recall parallelogram angle - property

Adjacent angles in a parallelogram are supplementary, i.e., their sum is 180°.

Step2: Check each pair

For the pair 32°, 148°: $32^{\circ}+ 148^{\circ}=180^{\circ}$.
For the pair 45°, 45°: $45^{\circ}+45^{\circ}=90^{\circ}
eq180^{\circ}$.
For the pair 100°, 100°: $100^{\circ}+100^{\circ}=200^{\circ}
eq180^{\circ}$.
For the pair 63°, 117°: $63^{\circ}+117^{\circ}=180^{\circ}$.
For the pair 90°, 90°: $90^{\circ}+90^{\circ}=180^{\circ}$.
For the pair 60°, 110°: $60^{\circ}+110^{\circ}=170^{\circ}
eq180^{\circ}$.

Answer:

32°, 148°; 63°, 117°; 90°, 90°