In a triangle, If the second angle is 20% more than the first angle and the third angle is 20% less than the first angle, then find the three angles of the triangle.
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Let "x" be the first angle.
Then, the second angle = 120% of x = 1.2x
The third angle = 80% of x = 0.8x
We know that,
The sum of the three angles of a triangle = 180°
x + 1.2x + 0.8x = 180°
3x = 180°
x = 60°
The first angle = 60°
The second angle = 1.2(60) = 72°
The third angle = 0.8(60) = 48°
So, the three angles of a triangle are 60°, 72° and 48°.
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