Question

construct a quadrilateral PLAN if PL=6cm,LA=9.5cm,∠P=75°,∠L=150°,∠A=140°

Answer 1

Answer:

Given, Two adjacent sides and three angles.

We know that sum of all the interior angles of a quadrilateral is 360°.

∠P + ∠L +∠A + ∠N= 140° + 75° + 150° + ∠N = 360°

∠N = 360° - (140° + 75° + 150°) = - 5°

But this is not possible, because an angle of a qadrilateral cannot be negative.

Hence, We cannot construct a quadrilateral PLAN.