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15 October, 14:37

If you knew that two angles were complementary and were given the measure of one of those angles, would you be able to find the measure of the other angle? Explain your reasoning.

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  1. 15 October, 16:53
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    If we knew that two angles were complementary and were given the measure of one of those angles, then we can find the measure of the other angle by subtracting the given measure of one angle from 90

    Solution:

    Given that,

    If you knew that two angles were complementary and were given the measure of one of those angles, would you be able to find the measure of the other angle

    Yes we can find the measure of another angle

    Complementary angles:

    Complementary angles are two angles whose sum is 90 degrees

    Therefore, if measure of one angle is given, then we can find the measure of another angle

    Measure of another angle = 90 - measure of one angle

    Example:

    If x and y are complementary angles

    Given that measure of angle x is 45 degrees

    Then we can say,

    According to complementary angles definition

    x + y = 90

    45 + y = 90

    y = 90 - 45

    y = 45

    Thus measure of other angle y is found to be 45 degrees
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