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The difference in the measure of …

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The difference in the measure of two complementary angles is 12°. Find the measure of the angles.

    • Posted by Saba Hafeez 5 years, 4 months ago

    CBSE > Class 07 > Mathematics
    • 1 answers

    Gaurav Seth 5 years, 4 months ago

    wo angels are said to be complementary when their sum is 90°

    Let one angle be x

    then other will be (x -12°)

    According to question.

          x + (x - 12°) = 90°   ( complementary angles)

    => 2x - 12°= 90°

    => 2x = 90° + 12°

    => 2x = 102°

    => x = 102°/2

    => x = 51°

    and (x - 12°) = 51° - 12° = 39°

    So, the angles are 39° and 51°

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