Q10 of 95 Page 15

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

Given,


Ratio of angles of quadrilateral = 3:5:9:13


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


= 3x+5x+9x+13x = 360° (angle sum property of quadrilateral)


= 30x = 360°


= x =


So, length of smallest angle = 3x = 3×12 =36°


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