Question

KLMN is a rectangle. KL - 11 cm, LM - 60 cm then find KM
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Answer 1

Answer:

In parallelogram KLMN, ∠K=60∘       [Given]

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

⇒  So, ∠K=∠M=60∘            ---- ( 1 )

⇒  ∠K+∠N=180∘         [Sum of adjacent angles of parallelogram is supplementary]

⇒  60∘+∠N=180∘

∴   ∠N=120∘

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

⇒  So, ∠N=∠L=120∘    ---- ( 2 )

From ( 1 ) and ( 2 ) we get,

∠K=60∘,∠L=120∘,∠M=60∘and∠N=120∘.