Question

using the supplementary consecutive angles theorem. 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? 64° 116° 128° 244°

Explanation:

Step1: Recall parallelogram angle - properties

In a parallelogram, consecutive angles are supplementary (their sum is 180°) and opposite angles are equal.

Step2: Find angle B

Since angle A and angle B are consecutive angles in a parallelogram, and angle A + angle B=180°. Given angle A = 116°, then angle B=180° - 116° = 64°.

Step3: Find angle D

Angle D and angle B are opposite angles in a parallelogram. Opposite angles in a parallelogram are equal. So angle D = angle B = 64°.

Answer:

64°