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If the ratio of the angles of a triangle is 2 : 4 : 3, then what is the sum of the smallest angle of the triangle and the largest angle of the triangle? A. 120 degrees B. 100 degrees C. 140 degrees D. 110 degrees

If the ratio of the angles of a triangle is 2 : 4 : 3, then what is the sum of the smallest angle of the triangle and the largest angle of the triangle? A. 120 degrees B. 100 degrees C. 140 degrees D. 110 degrees Correct Answer A

Given:

Ratio of the angles of a triangle = 2 : 4 : 3

Formula:

Sum of angles of a triangle 180°

Calculation:

Ratio of angles of a triangle = 2x : 4x : 3x

According to the question

2x + 4x + 3x = 180°

⇒ 9x = 180°

⇒ x = 180°/9

⇒ x = 20°

Smallest angle of triangle = 2 × 20° = 40°

Greatest angle of triangle = 4 × 20° = 80°

∴ Sum of largest and smallest angle of triangle = 40° + 80° = 120°

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