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प्रश्न
The diagonals of a quadrilateral ABCD bisect each other. If ∠A = 50°, then find ∠B.
बेरीज
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उत्तर
Given: The diagonals of quadrilateral ABCD bisect each other and ∠A = 50°.
Since the diagonals bisect each other, ABCD is a parallelogram.
Step-wise calculation:
In a parallelogram, adjacent angles are supplementary.
So, ∠A + ∠B = 180°.
Therefore, ∠B = 180° – ∠A
= 180° – 50°
= 130°
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