Question

ABCD is a parallelogram in which angle A= 100° . find the measure of each of the angles
angle B,angle C,angle D.​

Answer 1

Step-by-step explanation:

Given ABCD is a parallelogram.

The co-interior angles are always 180°

Given ∠B=100°

i.e, ∠B+∠C=180°

⇒∠C=80°

The opposite angles of a parallelogram are equal

i.e, ∠A=∠C=80°

⇒∠B=∠D=100°

∴ Sum of ∠A+∠C=80°+80°=160°

Hence, the answer is 160°.

Answer 2

Step-by-step explanation:

ABCD is llgm

A=C (100degree)

D+C=180°

D+100°=180°

D= 180-100°

D=80°

D=B ( opposite angle are equal )