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12 October, 17:43

The measure of an angle is forty-four times the measure of its supplementary angle. What is the measure of each angle?

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  1. 12 October, 20:14
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    Answer: 176 degrees and 4 degrees.

    Step-by-step explanation: To find the measure of the angles, all you have to do is create an equation. Let's call the supplementary angle x and the other angle 44x, because the other angle is 44*the supplementary angle. Now, we structure the equation 44x + x = 180. The reason we say the sum of the angles is 180 is because any angle plus its supplementary angle equals 180 degrees. From there it's just algebra:

    44x + x = 180

    45x = 180

    x = 180/45

    x = 4

    We can check our work by substituting x for 4 in the equation:

    44*4 + 4 = 180

    174 + 4 = 180

    180 = 180

    Thus, the first angle is 176 degrees and the second is 4 degrees.
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