Question

is it possible to construct a quadrilateral ABCD in which ab = 5 cm BC = 5 cm angle A =80 degree Angle B = 140 degree and Angle C = 145 degree ?if not give reason.​

Answer 1

Answer:

Nope, it can't be.

Explanation:

We know that the unique property of a quadrilateral is that, the summation of the measures of all of its four angles must add up to 360°.

We are given that:

<A = 80°

<B = 140°

<C = 145°

If we add up these only these three angles, the sum comes up to be:

<A + <B + <C = 80° + 140° + 145° = 365°, which is greater than 360°.

Therefore, it doesn't satisfy the condition for a quadrilateral.

Hence, we cannot construct a quadrilateral with the given lengths and measures.

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Hope it helps, have a great day! ;)