Question

Is quardilateral ABCD a parallelogram, if angle A = 70° and angle C =65°? Give reason

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Answer 1

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.

Answer 2

Answer:

Quadrilateral, ABCD is not parallelogram.

▪️In a parallelogram, the opposite angles must be equal.

So, If ABCD is indeed a parallelogram, then angle A and angle ( Being opposite much be equal)

However, as stated in question,

Angle=A=70° and

Angle=C=65°

▫️Thus, Angle A and C angle (Are not equal)

•Hence, The condition that opposite angles must be equal is not meet.

•Hence,There is contradiction to our assumption.

•Hence, Quadrilateral ABCD is not parallelogram..