Construct a Quadrilateral Plan
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Q2. Can you construct the quadrilateral PLAN if PL = 6 cm, LA = 9.5 cm, ∠P = 75°, ∠L =150° and ∠A = 140°? (Hint: Recall angle-sum property).
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.
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