Question

Construct a quadrilateral PLAN where PL= 4cm, LA=6.5cm, ∠P=90⁰, ∠A=110⁰ and ∠L=80⁰.
Who ever will answer i will give them brainiest

Answer 1

Answer:

∠L=75°  

Step-by-step explanation:

∠P+∠L+∠A+∠N=360  

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⇒  90  

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+∠L+110  

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+85  

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=360  

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⇒  285  

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+∠L=360  

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∴  ∠L=75  

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⇒  Draw line segment PL=4cm

⇒  Now, take P as center and draw angle of 90  

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.

⇒  Draw 75  

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 angle at point L.

⇒  Cut off LA=6.5cm

⇒  Now draw 110  

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 from point A.

⇒  Mark point N where the lines from point P and point A intersect .

∴  PLAN is required quadrilateral.