3.
Out of three angles of a triangle, one is twice of the
smallest and the other is three times the smallest. Find
the angles.
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Answer:
Let's assume the smallest angle of the triangle to be x.
Then, the other two angles would be 2x and 3x.
The sum of all the angles of a triangle is always 180 degrees, so we can write the equation:
x + 2x + 3x = 180
Simplifying this equation, we get:
6x = 180
Dividing both sides by 6, we get:
x = 30
So the smallest angle of the triangle is 30 degrees.
Therefore, the other two angles are:
2x = 2 * 30 = 60 degrees
3x = 3 * 30 = 90 degrees
So the angles of the triangle are 30 degrees, 60 degrees and 90 degrees.
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