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wynger wynger
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8 years ago
The number of grades in one angle of a triangle to the number of radians in the second as 800:3π. And the number of grades in the second is to the number of grades in the third as 10:9. Find the angles in degree.
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8 years ago
3pi is 540 degrees. 800 grades is 720 degrees.
800grade/3pi = 720/540 = 4/3. Make that 40/30; you'll see why in a second.. That's the ratio of the first to the second angle.

The ratio of the 2nd to the 3rd angle is 10/9. Make that 30/27.

So the ratio of the three angles is 40:30:27.

By making the number for the 2nd angle in the ratios = 30 in both cases, we can compare all 3 angles.

40+30+27 adds up to 97. So the angles are 180x40/97, 180x30/97 and 180*27/97.
That's 74.23, 55.67, and 50.10 approx.
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