ABCD is a parallelogram. If angle a is equal to 70 degrees, find the measure of
side 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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