The angles of a triangle are in the ratio 1 : 2 : 3. The difference in the largest and smallest angle is (in degrees):
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 60.
Let the angles be x, 2x, and 3x.
The sum of angles in a triangle is 180°.
So, x + 2x + 3x = 180
⇒ 6x = 180
⇒ x = 30
⇒ 2x = 2 × 30 = 60°
⇒ 3x = 3 × 30 = 90°
Difference = Largest angle - Smallest angle = 90° - 30° = 60°
Therefore, the difference in the largest and smallest angles is 60°.