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27 November, 21:22

The third angle of a triangle is the same size as the first. The second angle is 4 times the third. Find the measure of angles.

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  1. 27 November, 21:36
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    1st angle 30°

    2nd angle 120°

    3rd angle 30°

    Step-by-step explanation:

    Let's call

    A = 1st angle

    B = 2nd angle

    C = 3rd angle

    In every triangle it holds

    A + B + C = 180°

    Now, if the third angle of the triangle is the same size as the first

    A = C

    If the second angle is 4 times the third

    B = 4C

    we have then

    C + 4C + C = 180° = ==> 6C = 180° = ==> C = 30°

    If C = 30° then A = 30° and B = 120°
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