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One of the angles of a triangle is half the larger angle of a parallelogram. The respective ratio between the adjacent angles of the parallelogram is 14 : 31 . The smallest angle of the triangle is half the smaller angle of the parallelogram. What is the value of the largest angle of the triangle?
  • a)
    110°
  • b)
    80°
  • c)
    70°
  • d)
    None of these
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
One of the angles of a triangle is half the larger angle of a paralle...
We know that the sum of the adjacent angles of a parallelogram = 180o
Let the adjacent angles of the parallelogram be 14x and 31x
Therefore, 14x + 31x = 180o
45x = 180o
X = 4
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One of the angles of a triangle is half the larger angle of a parallelogram. The respective ratio between the adjacent angles of the parallelogram is 14 : 31 . The smallest angle of the triangle is half the smaller angle of the parallelogram. What is the value of the largest angle of the triangle?a)110°b)80°c)70°d)None of theseCorrect answer is option 'D'. Can you explain this answer?
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