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The ratio of the angles of a triangle is 2 ∶ 3 ∶ 5. What is the measure of the smallest angle (in degrees)?
  • a)
    32
  • b)
    36
  • c)
    48
  • d)
    40
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The ratio of the angles of a triangle is 2 ∶ 3 ∶ 5. What i...
Let the angles of the triangle be 2x, 3x and 5x respectively.
We know that,
Sum of angles in a triangle = 180°
⇒ 2x + 3x + 5x = 180°
⇒ 10x = 180
⇒ x = 18°
∴ The measure of the smallest angle = 2 × 18° = 36°
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The ratio of the angles of a triangle is 2 ∶ 3 ∶ 5. What is the measure of the smallest angle (in degrees)?a)32b)36c)48d)40Correct answer is option 'B'. Can you explain this answer?
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