Question

The four angle of a quadrilateral are in the ratio 3:5:7:9,find the angles separately

Answer 1

Answer:

Let the angles be 3x , 5x , 7x and 9x respectively

Total measure of all angle of quadrilateral = 360°

according to question,

3x + 5x + 7x + 9x = 360°

or, 24x = 360°

or, x = 360°/24

x = 15°

Therefore , 1st angle = 3x = 3×15° = 45°

2nd angle = 5x = 5×15° = 75°

3rd angle = 7x = 7×15° = 105°

& 4th angle = 9x = 9×15° = 135°

Hence, the angles are 45°, 75°, 105° and 135°.