Question

If the angles of a triangle are in the ratio 1 : 2 : 3, then the angles in degrees are 

(A) 40°, 50°, 90° 

(B) 30°, 60°, 90° 

(C) 35°, 45°, 90°

(D) 20°, 70°, 90°

Answer 1

(B) 30°, 60°, 90° 

Let the measures of the angles be x, 2x and 3x in degrees. 

Now, x + 2x + 3x = 180°

….[ ∵ sum of the measures of the angles of a triangle = 180°]

⇒ 6x = 180° 

⇒ x = 30°, 2x = 60° and 3x = 90°