if one angle of a triangle is 100° and the other 2 angles are in the ratio 2:3 , find the angles
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Also given that the other two angles are in the ratio 2: 3. Let one of the other two angles be 2x. Therefore, the second angle will be 3x. We know that the sum of all three angles of a triangle is 180°.
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Given that one of the angles of the given triangle is 100°.
Also given that the other two angles are in the ratio 2: 3.
Let one of the other two angles be 2x. Therefore, the second angle will be 3x.
We know that the sum of all three angles of a triangle is 180°.
100° + 2x + 3x = 180°
5x = 180° – 100°
5x = 80°
x = 80/5
x = 16
2x = 2 ×16
2x = 32°
3x = 3×16
3x = 48°
Thus, the required angles are 32° and 48°.
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