Find the angles of a parallelogram ABCD in which angelA = 2angleB.
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good question good question
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Answer:
∠A = 120°, ∠B = 60°, ∠C = 120°, ∠D = 60°
Step-by-step explanation:
In the parallelogram ABCD, ∠A = 2∠B
For any parallelogram ABCD, ∠A = ∠C and ∠B = ∠D
Since parallelogram ABCD is a quadrilateral, ∴ ∠A + ∠B + ∠C + ∠D = 360°
=> 2∠B + ∠B + ∠∴A + ∠B = 360°
=> 2∠B + ∠B + 2∠B + ∠B = 360°
=> 6∠B = 360°
∴ ∠B = 60° = ∠D
∴ ∠A = ∠C = 120°
∴ ∠A = 120°, ∠B = 60°, ∠C = 120°, ∠D = 60°
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