Question

In a parallelogram ABCD,  A = 100
°
find the angle C
​

Answer 1

Answer:

In a parallelogram angle A + B = 180° [co-interior angles]

100 + B = 180°

B = 80°

Since, opposite angles of a parallelogram are equal

Angle B = D = 80°

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Answer 2

Answer:

look below

Step-by-step explanation:

if ABCD is a parallelogram the,

∠B = 100°

∴ ∠D = 100°  

and,

∠A = ∠C = ∠x ( we have let ∠A and ∠C as ∠x )

since opposite angles of a parallelogram is equal.  

and,

∠A +∠B + ∠C +∠D = 360°

since angle sum property of a parallelogram is 360°

∠x + ∠x + 100° + 100° = 360°

⇒2∠x + 200° = 360°

⇒2∠x = 360° - 200°

⇒2∠x = 160°

⇒∠x = 160/2

⇒∠x = 80°

therefore ∠A = 80° and ∠C = 80°

I hope that this will help you and until next time take care

Thank youuu! :)