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Question
The diognols of quadrilateral ABCD bisect each other. If angleA=35° , determine angleB.
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Solution
Since, diagonals of a quadrilateral bisect each other, so it is a parallelogram.
Therefore, the sum of interior angles between two parallel lines is 180° i.e.,
∠A+∠B = 180°
=> ∠B = 180° – ∠A = 180°- 35°
[∴ ∠A = 35°, given]
⇒ ∠B = 145°
Therefore, the sum of interior angles between two parallel lines is 180° i.e.,
∠A+∠B = 180°
=> ∠B = 180° – ∠A = 180°- 35°
[∴ ∠A = 35°, given]
⇒ ∠B = 145°
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