If the angles, in degrees, of a triangle are x, 3x + 20 and 6x, the triangle…

2019

If the angles, in degrees, of a triangle are x, 3x + 20 and 6x, the triangle must be

  1. A.

    Obtuse

  2. B.

    Acute

  3. C.

    Right

  4. D.

    Isosceles

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Show answer & explanation

Correct answer: A

The angles are x, 3x + 20 and 6x. Their sum is 180, so 10x + 20 = 180 and x = 16. The angles are 16, 68 and 96 degrees. Since one angle is greater than 90 degrees, the triangle is obtuse.

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