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In a triangle, one angle is twice the smallest angle and the third angle is 30° greater than the smallest angle. What is the largest angle?
  1. 70.0°
  2. 72.5°
  3. 75.0°
  4. None of these
Explanation

Let smallest angle = x

Then:

Second angle = 2x

Third angle = x + 30

Total in triangle = 180

x + 2x + x + 30 = 180

4x + 30 = 180

4x = 150

x = 37.5

Largest angle = 2x = 2 x 37.5 = 75

Answer = 75 degrees


Last verified on 20-10-2026

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