Mathematics
Given that ABCD is a parallelogram and ∠B = 80°. What can you conclude about the other angles of the parallelogram?
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Answer
We know that,
Opposite angles in a parallelogram are equal.
∴ ∠D = ∠B = 80°
Since, ∠A = ∠C = x (let)
We know that,
Sum of angles in a parallelogram is equal to 360°.
⇒ ∠A + ∠B + ∠C + ∠D = 360°
⇒ x + 80° + x + 80° = 360°
⇒ 2x + 160° = 360°
⇒ 2x = 200°
⇒ x = 100°
Hence, ∠A = ∠C = 100° and ∠D = 80°.
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