Question

manuela is making a banner for a school dance. she makes one angle 116°. what should she make the measures of angles b and d so that the banner is a parallelogram?
o 64°
o 116°
o 128°
o 244°

Explanation:

Step1: Recall parallelogram angle - properties

In a parallelogram, opposite angles are equal and adjacent angles are supplementary (sum to 180°).

Step2: Find angle D

Angle C = 116°. Angle D is adjacent to angle C. So, ∠D+∠C = 180°. Then ∠D=180° - 116° = 64°.

Step3: Find angle B

Angle B is opposite to angle C. In a parallelogram, opposite angles are equal. So, ∠B = ∠C = 116°.

Answer:

Angle B is 116° and angle D is 64°.