Question

can a quadrilateral ABCD be a parallelogram

D+B = 180 degree

AB=DC=8 cm and BC =4.4 cm

A=70 and C =65 degree

Answer 1

Step-by-step explanation:

the quadrilateral can't be a parallelogram because its angle b + angle c is equal to 90 degree I.e.

D+B=180

we know that the sum of adjusted angle of a parallelogram is 180 degree.

angle A + angle d is equal to 180 degree. so angle d is equal to 110 degrees

now the sum of angle A + angle b is equal to 180 degree.

Angle B equal to 110 degree. thus angle b+angle c is not equal to 180 degree.

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Answer 2

Answer:

(i) ∠D + ∠B = 180 ∘

It may or may not be possible. the sum of measure of adjacent angles should be 180 ∘ .

(ii) AB = DC = 8 cm, AD = 4 cm and BC = 4.4 cm

No, opposite sides are of different lengths.

(iii) ∠A = 70 ∘ and ∠C = 65 ∘

No, opposite angles should be equal.