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An exterior angle of triangle is 80° and the interior opposite angles are in the ratio 1:3. Measure of each interior opposite angle is:​

  • a)
    30°, 60°

  • b)
    30°, 90°

  • c)
    40°, 120°

  • d)
    20°, 60°

Correct answer is option 'D'. Can you explain this answer?
Verified Answer
An exterior angle of triangle is 80° and the interior opposite ang...
so interior angle corresponding to 80° will be 100°

let there ratio be x so angles would be x and 3x

x + 3x + 100° = 180°

4x = 80°

x = 20°

so x and 3x  will be 20° and 60° respectively  
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Most Upvoted Answer
An exterior angle of triangle is 80° and the interior opposite ang...
As wenall know that the sum of two interior angles is equal to one exterior angles in a triangle. In the given ques. , it is given that the interior angles are in the ratio 1:3 .So late 1angle be x and other be 3x. x + 3 x is equal to 80 4x=80x = 80/4x = 20
so if x is 20 degree then 3x = 60and angles are 20 an 60
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Community Answer
An exterior angle of triangle is 80° and the interior opposite ang...
Simple...strecth any of the vertices such as A from Triangle ABC...now the exterior angle on that strecthed vertice is 80 degree...so the interior angle of that line will be 180-80=100 degree...as the angle of a line is 180...now the left over angles is 180-100=80 degree...as sum total of all angles in a triangle is 180... now 1:3 ratio of 80 degree will result to 20 and 60 degree by calculation
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An exterior angle of triangle is 80° and the interior opposite angles are in the ratio 1:3. Measure of each interior opposite angle is:a)30°, 60°b)30°, 90°c)40°, 120°d)20°, 60°Correct answer is option 'D'. Can you explain this answer?
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