Question

ancd is a parallelogram if angle b=130 then find angle c​

Answer 1

Answer:

Given ABCD is a parallelogram.

The sum of co-interior angles is always 180°.

Given ∠B=100°

and, ∠B+∠C=180°

⇒∠C=80°

The opposite angles of a parallelogram are equal

i.e, ∠A=∠C=80°

∴ Sum ∠A+∠C=80°+80°=160°

Hence, the answer is 160°.

Answer 2

Answer: ∠C=50°

Step-by-step explanation:

• We know that the opposite sides of a parallelogram are parallel and equal.
• So, the adjacent angles are supplementary.
• Given, ∠B=130°
• ∠B + ∠C=180°

     ⇒ ∠C=180°-130°

     ∴ ∠C=50°

• Hence, the required angle is 50°.

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