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  • Diagonals of a quadrilateral ABCD bisect each other. If A = 35º, determine B.

Diagonals of a quadrilateral ABCD bisect each other. If \angle A = 35^{\circ}, determine \angle B. 

Answers (1)

Answer: 145^{\circ}

Solution.
If the diagonals of a quadrilateral ABCD bisect each other then it parallelogram.

Sum of interior angles between two parallel lines is 180^{\circ} i.e.,
\angle A+\angle B=180^{\circ}
\angle A=35^{\circ}   (given)
35^{\circ}+\angle B=180^{\circ}
\angle B=180^{\circ}-35^{\circ}
\angle B=145^{\circ}
Hence the answer is 145^{\circ}.

 

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infoexpert26

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