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12 September, 09:38

Find m∠Ym∠Y if m∠Ym∠Y is six more than three times its complement.

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  1. 12 September, 13:16
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    Let x = m∠Y.

    Complementary angles add up to 90°.

    Therefore the complement of m∠Y = 90 - m∠Y, or 90 - x.

    Because m∠Y is 6 more than 3 times (90 - m∠Y), therefore

    x = 3 (90 - x) + 6

    x = 270 - 3x + 6

    4x = 276

    x = 276/4 = 69

    Answer: m∠Y = 69°
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