Question

(c) In a parallelogram KLMN, the bisectors of the adjacent angles K and N meet each other at 0.
Find L KON

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Answer 1

Step-by-step explanation:

In parallelogram KLMN, ∠K=60

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[Given]

⇒ ∠K=∠M [Opposite angles of parallelogram are equal]

⇒ So, ∠K=∠M=60

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---- ( 1 )

⇒ ∠K+∠N=180

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[Sum of adjacent angles of parallelogram is supplementary]

⇒ 60

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+∠N=180

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∴ ∠N=120

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⇒ ∠N=∠L [Opposite angles of parallelogram are equal]

⇒ So, ∠N=∠L=120

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---- ( 2 )

From ( 1 ) and ( 2 ) we get,

∠K=60

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,∠L=120

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,∠M=60

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and∠N=120