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15 March, 17:18

The measure of one of the small angles of a right triangle is 26 more than 3 times the measure of the other small angle. find the measure of both angles.

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  1. 15 March, 18:21
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    Let's define the following variable:

    x = "the measure of the other small angle"

    We have then that the measure of the angle is:

    3x + 26

    The sum of the angles of a triangle is 180:

    (3x + 26) + (x) + (90) = 180

    We clear x:

    4x = 180-90-26

    x = (180-90-26) / (4)

    x = 16 degrees

    Therefore, the measure of the other angle is:

    3 * (16) + 26 = 74 degrees

    Answer:

    the measure of both angles are:

    16 degrees

    74 degrees
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