Question

The four angles of a quadrilateral are in the ratio 4:5:6:9 . Find out the measures of all the angles

Answer 1

Answer:

the four angles are:

60° , 75° , 90° and 135°

Step-by-step explanation:

let , the angles be:

4x (1st angle)

5x (2nd angle)

6x (3rd angle)

9x (4th angle)

the sum of all the angles of a quadrilateral is 360° .

so,

360°= 4x+5x+6x+9x

360°= 24x

360°/24= x

15° = x

hence,

1st angle=4x = 4× 15 =60°

2nd angle=5x =5×15=75°

3rd angle= 6x = 6×15=90°

4th angle= 9x = 9×15=135°

therefore,

the four angles are:

60° , 75° , 90° and 135°