Three angles of a triangle are in the ratio 1:1:2, the angles will be _____?
- 45°, 45°, 90°
- 30°, 30°, 120°
- 50°, 50°, 80°
- None of these
Explanation
Let's denote the three angles as x, x, and 2x, since they are in the ratio 1:1:2.
The sum of the angles in a triangle is always 180°:
x + x + 2x = 180°
Combine like terms:
4x = 180°
Divide by 4:
x = 45°
Now that we know x, we can find the other angles:
x = 45°
x = 45°
2x = 90°
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