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  • 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).

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).

Answers (1)

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Given, Two adjacent sides and three angles. 

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

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

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

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

Hence, We cannot construct a quadrilateral PLAN.

Posted by

HARSH KANKARIA

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