1.

ABCD is a parallelogram. If angle a is equal to 70 degrees, find the measure ofside B.​

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Is quadrilateral ABCD a parallelogram, if ∠A=70

and ∠C=65

? Give reason.

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Answer: Quadrilateral ABCD is not a parallelogram.

In a parallelogram, the opposite angles must be equal.

So, if ABCD is indeed a parallelogram, then angle A and angle C being opposite angles must be equal.

However, as STATED in question, angle A = 70 degrees

and angle C = 65 degrees.

Thus angle A and angle C are not equal.

HENCE, the condition that opposite angles must be equal is not met. Hence there is a contradiction to our ASSUMPTION. Hence, quadrilateral ABCD is not a parallelogram.

Answered By yadavjii64



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