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23 January, 06:03

An angle measures 14.8° less than the measure of its complementary angle. What is the measure of each angle?

and

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  1. 23 January, 09:49
    0
    The larger angle is 52. 4

    The smaller angle is 37. 6

    Step-by-step explanation:

    The equation is:

    (x-14. 8) + x=90

    x+x-14. 8=90

    2x=90+14. 8

    2x=104. 8

    x=52. 4

    The value for the larger angle is x

    and x = 52. 4

    The value for the smaller angle is x-14. 8

    and x-14. 8=52.4-14.8

    =37.6

    Verification

    (x-14.8) + x=90

    (52.4-14.8) + 52.4=90

    37.6+52.4=90

    90=90
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