Math

Given that <1 and <2 are supplementary angles and that m<1=115 , explain how to find the measure of the complement of <2.

Instead of giving just the answer can you explain in words of how you got the answer please!

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  1. A2 = 180 - A1

    A2 = 180 - 115 = 65 because they are supplements

    90 - 65 = 25 because complements add to 90 degrees

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  2. the two angles must add to 180 degrees.
    So, to get <2, subtract <1 from 180

    Complementary angles add to 90, so the complement of 2 is 90 - <2

    Or to do it all in one step, if the measure of <1 is x, then the complement of <2 is

    90-(180-x) = x-90

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