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Question -

If the angles of a quadrilateral are in the ratio 3:5:9:13, then find the measure of the smallest angle.



Answer -

Angles of aquadrilateral are in the ratio 3 : 5 : 9 : 13 (Given)

Let the sides are 3x,5x, 9x, 13x

We know, sum of allthe angles of a quadrilateral = 360o

3x + 5x + 9x + 13x =360 o

30 x = 360 o

x = 12 o

Measure of smallestangle = 3x = 3(12) = 36o .

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