Question

find the measures of all the angles of a quadrilateral if angles are in ration 7:3:4:6​

Answer 1

Ok so let angle 1 be 7x
Let angle 2 be 3x
Let angle 3 be 4x
Let angle 4 be 6x
Now we know that :-
Angle 1 + angle 2 + angle 3 + angle 4 = 360degrees (angle sum property of quadrilateral)
So 7x + 3x + 4x + 6x = 360
20x = 360
x = 360/20
x = 18
So
Angle 1 = 7 x 18 = 126 degrees
Angle 2 = 3 x 18 = 54 degrees
Angle 3 = 4 x 18 = 72 degrees
Angle 4 = 6 x 18 = 108 degrees
Hope this helps you! :)