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11 April, 09:12

A triangle has an angle that measures 115°. The other two angles are in a ratio of 3:10. What are the measures of those two angles?

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  1. 11 April, 09:37
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    The sum of angles of a triangle is 180°, so the two unknown angles have a total measure of 180° - 115° = 65°. The total number of ratio units is 3+10 = 13, so each must stand for 65°/13 = 5°.

    The measures of the two angles are 3·5° = 15° and 10·5° = 50°.
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