Question

Quadrilateral A B C D is shown. The uppercase right angle, angle A, is 79 degrees.

Answer 1

Answer:

∠C=79°

∠B=∠D=101°

Step-by-step explanation:

-A parallelogram has a pair of parallel opposite sides.

-It's opposite angles are also equal.

#Given the parallelogram ABCD, and that angle A=79°, the remaining angles can be found as:

Angle A is opposite to angle C

$\angle A \ is \ opposite \ to \ \angle C\\\\\angle A=\angle C\\\\\angle C=79\textdegree$

Hence ∠C=79°

#Since it's a parallelogram , the two remaining angles are opposite and equal:

$\angle B=\angle D=0.5(360\textdegree-2\times 79\textdegree)\\\\=101\textdegree$

Hence ∠B=∠D=101°