Question

four angles of quadrilateral are in ratio 3:5:7:9 . Find the angles

Answer 1

Let first angle= 3x
Let second angle = 5x
Let third angle = 7x
Let forth angle= 9x
We know that the sum of quadrilateral is 360.
Therefore, 3x + 5x + 7x + 9x = 360
8x + 16x = 360
24x = 360
x = 360/ 24
x= 15
Now, 3x = 3× 15 = 45
5x = 5×15 = 75
7x = 7× 15 = 105
9x = 9×15 = 135
Therefore the angles are 45°, 75°, 105°, 135°