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If one of the angles of a triangle is 90 degrees. What would be the value of other two angles?

If one of the angles of a triangle is 90 degrees. What would be the value of other two angles?

  • (A) 60 and 30 degrees
  • (B) 50 and 40 degrees
  • (C) 70 and 20 degrees
  • (D) 45 and 45 degrees
  • Solution: In every triangle, the sum of the interior angles is always 180 degrees.
  • If one of the angles is 90 degrees, then the other two must sum up to 180 - 90 = 90 degrees.
  • So, the other two must sum up to 90 degrees.
  • From the choices provided:
  • (A) 60°, 30° → 60 + 30 = 90°
  • (B) 50°, 40° → 50 + 40 = 90°
  • (C) 70°, 20° → 70 + 20 = 90°
  • (D) 45°, 45° → 45 + 45 = 90°
  • All the above choices sum up to 90°. Since the other two angles of the right triangle can be any two values that sum up to 90°, rather than one specific pair of values, we can conclude that:
  • If the problem is for the special or common type of triangle, the most commonly known one is the 45°, 45°, 90° triangle, which is an isosceles right triangle.
  • Answer: (D) 45, 45 degrees
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