The four angles of a quadrilateral are as 3 : 5 : 7 : 9. Find the angl

1.	The four angles of a quadrilateral are as 3 : 5 : 7 : 9. Find the angles.
Answer» We know that Sum of angles of a quadrilateral is = 360° Let each angle be x° So, 3x° + 5x° + 7x° + 9x° = 360° 24x° = 360° x°= 360°/24 = 15° Value of angles are 3x = 3 × 15 = 45° 5x = 5 × 15 = 75° 7x = 7 × 15 = 105° 9x = 9 × 15 = 135° ∴ Value of angles are 45°, 75°, 105°, 135°

The four angles of a quadrilateral are as 3 : 5 : 7 : 9. Find the angles.

Answer»

We know that Sum of angles of a quadrilateral is = 360°

Let each angle be x°

So,

3x° + 5x° + 7x° + 9x° = 360°

24x° = 360°

x°= 360°/24

= 15°

Value of angles are

3x = 3 × 15 = 45°

5x = 5 × 15 = 75°

7x = 7 × 15 = 105°

9x = 9 × 15 = 135°

∴ Value of angles are 45°, 75°, 105°, 135°