Question

Can a quadrilateral ABCD be a parallelogram if ii) angle A=95, angle B=75​

Answer 1

Step-by-step explanation:

yes ,it can be a parallelogram ....

/A+/B=95+75=180°

since ,the sum of adjusant angle of quadrilateral is 180°,then ABCD is a paralellogram.

Answer 2

Answer:

ATQ,

A and B are the adjacent angles.

In a parallelogram, the opposite sides are equal and parallel.

So, the adjacent angles are the co-interior angles.

We know that the sum of co-interior angles is 180 degrees, i.e., they are supplementary.

So,

Angle A + Angle B =180 degrees

or, 95 + 85=180

Since L.H.S.=R.H.S.

Therefore, the statement is true.

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