Question

The four angles of a quadrilateral are in the ratio 3 ratio 5 ratio 7 ratio 9 find the angles of a quadrilateral

Answer 1

Hello !
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let four angles = 3x , 5x , 7x , 9x 
ATQ => 3x + 5x + 7x  + 9x  = 360
             24 x                        = 360
              2 x                         = 30 
                 x                         = 15
angles are 3 x = 15 x 3 = 45 °
                  5 x = 15 x 5 = 75°
                  7 x = 15 x 7 = 105°
                  9 x = 15 x 9 = 135 °
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Answer 2

As per the ratio 3:5:7:9, let the angles be 3x, 5x, 7x, 9x
Add 'em up and put equal to 360° (The Angle Sum Property of Quadrilateral)
$3x+5x+7x+9x$ = 360°
$24x$ = 360°
x = 15

So the angles will be $3*15$, $5*15$, $7*15$, $9*15$

Equals 45°, 75°, 105°, 135°