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An exterior angle of a triangle is 100° and the interior opposite angles are in ratio 1 : 4. The measure of the smallest angle of the triangle is 
  • a)
    70°
  • b)
    80°
  • c)
    20°
  • d)
    30°
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
An exterior angle of a triangle is 100° and the interior opposite ...
If an exterior angle of a triangle is 100 degrees, then the sum of the two interior angles adjacent to it is 180 - 100 = 80 degrees.
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Community Answer
An exterior angle of a triangle is 100° and the interior opposite ...
Let the measure of interior opposite angles be x and 4x respectively.
∴ A/Q,
x + 4x = 100°
⇒ 5x = 100° ⇒ x = 20°
∴ The measure of the smallest angle = x = 20°
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An exterior angle of a triangle is 100° and the interior opposite angles are in ratio 1 : 4. The measure of the smallest angle of the triangle isa)70°b)80°c)20°d)30°Correct answer is option 'C'. Can you explain this answer?
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