Question

Three angles of a quadrilateral are in the ratio 3:5:7 . The difference of the least and the greatest of three angles is 76° find all the angles of the quadrilateral.

Answer 1

Let the three angles= 3x, 5x, 7x.
Greatest - Least = 76
7x-3x=76
4x=76
x=19

1st angle= 3x=57
2nd angle= 5x=95
3rd angle= 7x=133
4rth angle= 360-(57+95+133)
                   360-285
                85

Answer 2

Answer:

Step-by-step explanation: Ratio = 3:5:7

let the angles be 3x , 5x , 7x

ATQ = 7x - 3x = 76°

4x = 76°

x = 76/4°

x = 19°

1st angle = 3x = 3 × 19 = 57°

2nd angle = 5x = 5 × 19 = 95°

3rd angle = 7x = 7 × 19 = 133°

4th angle = 360° - (57° + 95° + 133° )

4th angle = 360° - 285°

4th angle = 85°

Angles are 57° , 95° , 133° , 85°