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?
- 70.0°
- 72.5°
- 75.0°
- 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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