The ratio of measures of the angles of a triangle is given as 3 : 4 : 8. What is the measure of the smallest of the three angles?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 36°
Explanation:
Let the measures of the three angles of a triangle be 3x, 4x, 8x respectively.
As we know, sum of all angles of a triangle = 180°
⇒ 3x + 4x + 8x = 180°
⇒ 15x = 180°
⇒ x = 12°
Now measure of the smallest angle = 3x = 3 × 12 = 36°
Hence the required answer is 36°.