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26 January, 12:44

A triangle has an angle that measures 115°. The other two angles are in a ratio of 2:11. What are the measures of those two angles?

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  1. 26 January, 13:21
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    One angle of a triangle is 115 degrees.

    The sum of the remaining angles is therefore 180-115=65°

    If they are in a ratio of 2:11, then the smaller angle is 65 * (2 / (2+11)) = 10°

    the larger angle is 65 * (11 / (2+11)) = 55°.

    Check: 10+55=65°=180-115° ok.

    Answer: the measures of the remaining angles are 10 and 55°
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