Question

In parallelogram ABCD, if angle A = 30degree, find the measure of another angles.

pls someone help me to solve this sum..I want the answer step by step..​

Answer 1

Answer:

Let the smallest angle be x

One angle = 2x - 30°

∴ x + 2x - 30° = 180°

⇒ 3x = 210°

⇒ x = 70°

∴ 2x - 30° = 110°

∴ Angles are 70°, 110° , 70°, 110° .

Answer 2

Answer:

A=30°

A=C (opposite side of parallelogram)

C=30°

D=B

Sum of all angle in parallelogram=360°

In parallelogram ABCD.

A+B+C+D=360°

30°+B+30°+D=360°

60°+B+B=360° ( D=B)

2B=360°-60°

B=300°/2

B=150°

B=D

Therefore,A=30°,B=150°,C=30° and D= 150°.