Question

the angles of a quadrilateral are in the ratio 5:7:7:11. Find the measure of each angle

Answer 1

We know that the sum of all angles of an quadrilateral is 360

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Let angles are 5x,7x,7x,11x

5x + 7x + 7x  + 11x = 360 
                        30x  = 360
                            x  = 360/30
                             x =  12


Now,

Angles are : 

5x = 5(12) = 60 

7x = 7(12) = 84

7x = 7(12) = 84 

11x = 11(12) = 132



i hope this will help you

(-:

Answer 2

We know that sum of all angles of a quadrilateral is 360°
Ratio of angles = 5:7:7:11
angles =5x 7x 7x 11x
ATQ
5x+7x+ 7x + 11x = 360°
30x = 360°
x =360/30
x = 12°
All angles are 60° , 84° , 84° , 132°