Question

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

Answer 1

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 = \(\frac{360° }{30}\) = 12

So, 

Length of smallest angle = 3x = 3×12 = 36°