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∠A, ∠B and ∠C are three angles of a triangle, and ∠A ∶ ∠B ∶ ∠C = 1 ∶ 3 ∶ 2, then the sum of the largest and the smallest angle of the triangle is:
  • a)
    125°
  • b)
    120°
  • c)
    112°
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
∠A, ∠B and ∠C are three angles of a triangle, and ∠A ...
Given:
ABC is a triangle and the ratio of their angle is 1 ∶ 3 ∶ 2.
Concept:
The sum of the angles of a triangle = 180°
Calculation:
According to the question,
The ratio of the angles of a triangle = 1 ∶ 3 ∶ 2
Let the angles of the triangle be x, 3x and 2x respectively.
x + 3x + 2x = 180°
⇒ 6x = 180°
⇒ x = 30°
⇒ 3x = 3 × 30° = 90° and 2x = 2 × 30° = 60°
The angles of triangle ABC are 30°, 90° and 60°.
Sum of the largest and smallest angle of triangle = 90° + 30° = 120°.
∴ Sum of the largest and smallest angle of triangle is 120°.
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∠A, ∠B and ∠C are three angles of a triangle, and ∠A ∠B ∠C = 1 3 2, then the sum of the largest and the smallest angle of the triangle is:a)125°b)120°c)112°d)None of theseCorrect answer is option 'B'. Can you explain this answer?
Question Description
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