Question

three angles of a quadrilaterals are in the ratio 4:3:2:6. find the measure of each angle
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Answer 1

let the angles of a quadrilateral be x

1st angle be 4x

2nd angle be 3x

3rd angle be 2x

4th angle be 6x

total measure = ( n-2 ) 180

                        ( 4 - 2 ) 180

                           2 * 180

                           360

according to question

4x + 3x + 2x + 6x = 360

15x = 360

x  = 360/ 15

x = 24

so ,

1st angel = 4x

= 4*24

= 96

2nd angle = 3x

3*24 = 72

3rd angle = 2x

2*24 = 48

4th angle = 6x

6*24 =  144

so, the angles of a quadrilateral is

96 + 72 + 48 + 144 = 360

Step-by-step explanation: