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Math Help - Geometry angles

  1. #1
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    Smile Geometry angles

    The measure of an angle is 3 times the measure of its supplement. Find the measure of the angle.
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  2. #2
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    Let {\color{red}s} be the supplement of the angle that we are looking at (which we'll call \alpha).

    So, by definition, we know that: \alpha + {\color{red}s} = 180^{\circ} (1)

    We also know that the angle is 3 times more than its supplementary angle, i.e.: \alpha = 3{\color{red}s} \ \ \text{which is the same as: } {\color{red}s} = \frac{\alpha}{3}

    So substitute {\color{red}s} into (1) and we get: \alpha + {\color{red}\frac{\alpha}{3}} = 180^{\circ}

    Now just solve for the angle \alpha
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  3. #3
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    Thank you so much! I've never taken Geometry and my daughter has a test tomorrow. You helped a lot!
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