If three angles of a triangle are (18x + 6°), (10x + 30°) and (15x + 15°), then the triangle is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. equilateral.
(18x + 6°) + (10x + 30°) + (15x + 15°) = 180°
⇒ 43x + 51° = 180°
⇒ x = 129°/43 = 3°
First angle = 18x + 6° = 18(3°) + 6° = 60°
Second angle = 10x + 30° = 10(3°) + 30° = 60°
Third angle = 15x + 15° = 15(3°) + 15° = 60°
Since all three angles are 60°, the triangle is equilateral.