The measures of the three angles of a triangle are in the ratio 17 : 13 : 15. Find the positive difference between the greatest and the smallest of these three angles.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 16°.
The angles of a triangle are in the ratio 17 : 13 : 15 = 17x : 13x : 15x
We know that the sum of the angles of the triangle = 180°
So,
⇒ 17x + 13x + 15x = 180°
⇒ 45x = 180°
⇒ x = 4
Thus,
Largest angle = 17x = 68°
Smallest angle = 13x = 52°
Required difference = 68° - 52° = 16°