Question 46

If angles of a quadrilateral are in the ratio 3:5:9:13, find the largest angle?

Solution

Let the angles of quadrilateral are 3x, 5x, 9x and 13x

As we know that sum of all angles of quadrilateral = 360 degree

3x + 5x + 9x + 13x = 360

30x = 360

x = 12

Largest angle = $$12\times13=156^{\circ\ }$$

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