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Angles of a triangle are in ratio 3 : 1 : 5. Smallest angle is 
  • a)
    20° 
  • b)
    100° 
  • c)
    60° 
  • d)
    80° 
Correct answer is option 'A'. Can you explain this answer?
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Angles of a triangle are in ratio 3 : 1 : 5. Smallest angle isa)20°...
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Angles of a triangle are in ratio 3 : 1 : 5. Smallest angle isa)20°...
Given: Angles of a triangle are in ratio 3 : 1 : 5

To find: The smallest angle



Explanation:
- Let the three angles of the triangle be 3x, x, and 5x, where x is a common factor.
- According to the given ratio, the angles are in the ratio 3 : 1 : 5, so we have:
3x : x : 5x
- The sum of the angles of a triangle is always 180°. Therefore, we can write:
3x + x + 5x = 180°
9x = 180°
x = 20°
- So, the smallest angle (x) is 20°.
- Therefore, the correct answer is option 'A' which states that the smallest angle is 20°.

Conclusion: The smallest angle of the triangle is 20°.
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Angles of a triangle are in ratio 3 : 1 : 5. Smallest angle isa)20°b)100°c)60°d)80°Correct answer is option 'A'. Can you explain this answer?
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