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The sum of the angles of a triangle is 180". One angle of a triangle 100% and the magnitude of the other two is in the ratio 2:3. Determine the magnitudes of the other two angles.



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Answer:

The two angles are 32 degrees and 48 degrees.

Explanation:

If one angle of a triangle is 100 degrees, then the sum of the other two angles is 80 degrees (180 - 100). If the magnitude of the other two angles is in the ratio 2:3, then we can call the first angle 2x and the second angle 3x. The sum of these two angles is 5x, so 5x = 80, and x = 16. So, the two angles are 2x = 32 degrees and 3x = 48 degrees.

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