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A triangle has two of its angles in the ratio of 1 : 2. If the measure of one of the other angle is 30 degrees, what is the measure of the largest angle of the triangle in degrees?
  • a)
    100°
  • b)
    90°
  • c)
    135°
  • d)
    Cannot be determined
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A triangle has two of its angles in the ratio of 1 : 2. If the measure...
30 + k + 2k = 180
3k = 150
K = 50
So largest angle = 2k = 100
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Most Upvoted Answer
A triangle has two of its angles in the ratio of 1 : 2. If the measure...
Let x be the measure of the smallest angle.
The ratio of the two angles is 1:2, so the second angle is 2x.
The sum of all three angles in a triangle is 180 degrees, so we can write the equation:
x + 2x + 30 = 180
Combining like terms, we get 3x + 30 = 180
Subtracting 30 from both sides, we get 3x = 150
Dividing both sides by 3, we get x = 50
The largest angle is 2x, so it is 2*50 = <2*50=100>>100 degrees.
Therefore, the answer is a) 100.
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A triangle has two of its angles in the ratio of 1 : 2. If the measure of one of the other angle is 30 degrees, what is the measure of the largest angle of the triangle in degrees?a)100°b)90°c)135°d)Cannot be determinede)None of theseCorrect answer is option 'A'. Can you explain this answer?
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