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
[tex]\angle A \ is \ opposite \ to \ \angle C\\\\\angle A=\angle C\\\\\angle C=79\textdegree[/tex]
Hence ∠C=79°
#Since it's a parallelogram , the two remaining angles are opposite and equal:
[tex]\angle B=\angle D=0.5(360\textdegree-2\times 79\textdegree)\\\\=101\textdegree[/tex]
Hence ∠B=∠D=101°
