can quadrilateral ABCD be parallelogram,if angleA=70 and angle C=65 give reason
Answers
Answer:
No, the quadrilateral ABCD is not a quadrilateral because in a parallelogram the opposite angles are equal and if that is true then angles are 70, 65, 70, 65 which is not possible as their sum is not 360 also sum of consecutive angels must be 180.
Step-by-step explanation:
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.