Q5 of 28 Page 127

In a parallelogram KLMN, ∠K = 60°. Find the measures of all the angles.

Consider a Parallelogram KLMN,


According to the problem, it is given that ∠K = 600.



We know that in a parallelogram,


⇒ The adjacent angles are supplementary.


⇒ The opposite angles are equal.


From the figure, we can say that,


∠K = ∠M ...... - (1)


∠L = ∠N ...... - (2)


∠K + ∠L = 1800 (3)


From(1) we can write that


∠M = 600


From(3) we can write that


⇒ 600 + ∠L = 1800


⇒ ∠L = 1800 - 600


⇒ ∠L = 1200


From(2), we can say that


∠N = 1200.


The angles ∠K, ∠L, ∠M, ∠N are 600, 1200, 600, 1200.


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