Question

construction of a quadrilateral ABCD in which BC=8cm, angle A=70°, angle B=160° and angle C=135°, AB=5cm is not possible because?

guys it's emergency and plz answer that person who knows the correct answer!!​

Answer 1

Answer:

it is not possible because sum of all angle of quadrilateral is 360 digree but in question there are three angle whos sum is 360 where is 4 angle of tere are 4 angle then there sum will be grater than 360 digree

Answer 2

Answer :-

Its is not possible to construct as it violates angle sum property of a quadrilateral.

Verification :-

According to Angle sum property of a quadrilateral,

Sum of all interior angles = 360°

Now,in quadrilateral ABCD, it is given that :-

• ∠A = 70°
• ∠B = 160°
• ∠C = 135°

Now, According to Angle sum property of a quadrilateral,

∠A + ∠B + ∠C + ∠D = 360°

(Putting the values we get)

=> 70° + 160° + 135° + ∠D = 360°

=> 365° + ∠D = 360°

Now, if we try to find out ∠D, it will be in negative. We know that angles can't be in negative.

Therefore, the construction of quadrilateral with these dimensions is not possible.

=> Construction of Quadrilateral ABCD is not possible with those dimensions because it violates angle sum property of a quadrilateral.

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