Math, asked by crystal9736, 1 year ago

Diagnols of quadrilateral abcd bisect each other if angle a =35 then angle b = 145 is it true?

Answers

Answered by Anonymous
2

hello friend !! here is your answer.....

yes, it is true as :


Diagonals of a quadrilateral bisect each other then, the given quadrilateral is a parallelogram.


So, ABCD is a parallelogram.


Now, ∠ ABC and ∠ DAB at=re consecutive interior angles as AD II BC and AB is a transversal.


As we know that the sum of consecutive interior angles is always 180°.


∴ ∠ ABC + ∠ DAB = 180°


⇒ ∠ ABC = 180° - ∠ DAB


⇒ ∠ ABC = 180° - 35°


⇒ ∠ ABC = 145°

hope it helped

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