Question

Three angles of quadrilateral are in the ratio 2:3:5 and the fourth angles is 90°. Find the measure of the other three angles.

Answer 1

Three angles are in the ratio 2 : 3 : 5 

Let the angles be 2x ,3x and 5x 

[Sum of the angles of a quadrilateral] 

2x + 3x + 5x + 90° = 360° 

10x + 90° = 360° 

10x = 360° – 90° 

10x = 270° 

x = \(\frac{270^o}{10}\) = 27° 

∴ 2x = 2 × 27° = 54° 

3x = 3 × 27° = 81° 

5x = 5 × 27° = 135° 

Three angle are 54°, 81° & 135°