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