Of the three angles of a triangle, one is twice the smallest and another one is thrice the smallest. Find the value of the smallest angle.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e 30°
Let the smallest angle be x.
According to the given information, one angle is twice the smallest, so it is 2x.
Another angle is thrice the smallest, so it is 3x.
Since the sum of the angles in a triangle is 180°, we have:
⇒ x + 2x + 3x = 180°
⇒ 6x = 180°
⇒ x = 30°
Therefore, the smallest angle is 30°.