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One angle of a triangle is equal to the sum of the remaining angles. If the ratio of measures of the ren

is 2:1, find the measures of the three angles of the triangle.

One angle of a triangle is equal to the sum of the remaining angles. If the ratio-example-1
User Dimitri Mockelyn
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1 Answer

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13 votes

9514 1404 393

Answer:

90°, 60°, 30°

Explanation:

The remaining angles have a ratio of 2:1, so total 3 "ratio units". The first angle is equal to that sum: 3 ratio units, so all of the angles together total 3+2+1 = 6 ratio units. The total of angles is 180°, so each ratio unit is 180°/6 = 30°.

The first angle is 3 ratio units, or 90°.

The second angle is 2 ratio units, or 60°.

The third angle is half that, or 30°.

The three angles are 90°, 60°, 30°.

User CosmicMind
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