Question

Three angles of a quadrilateral are in the ratio 3: 5:7. The difference of the least and greatest of these angles is 760 . Find all the four angles of the quadrilateral.

Answer 1

Explanation:

given :

Three angles of a quadrilateral are in the ratio 3: 5:7. The difference of the least and greatest of these angles is 760 . Find all the four angles of the quadrilateral.

to find :

Find all the four angles of the quadrilateral.

solution :

• the angles be 3x, 5x, 7x

• = 7x - 3x = 76°

• 4x = 76°

• x = 76/4°

• x = 19°

• 1st angle = 3x = 3 x 19 = 57°

• 2nd angle = 5x = 5 x 19 = 95°

• 3rd angle = 7x = 7 x 19 = 133°

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

• angle = 360° - 285°

• angle = 85°

• Angles are 57°, 95°, 133, 85°

• hope it helps you

Answer 2

Answer:

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