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If the measure of an angle is twenty less than the measure of its complement, what is the measure of the angle

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  1. 11 May, 19:57
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    Assuming the measurement is in degrees:

    The sum of an angle and its complement is 90°.

    Assign the variable x to the angle. Since it is 20° less than its complement, the angle's complement can be written as x+20°.

    With this information, an equation can be written:

    x+x+20°=90°

    2x+20°=90°

    2x=70°

    x=35

    The measure of the angle is 35°.
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