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21 September, 20:06

For the parallelogram, if m<2+5x-28 abd m<4=3x-10, find m< 3 ...?

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  1. 21 September, 21:13
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    Opposite angles of a parallelogram are equal, so:

    5x - 28 = 3x - 10

    2x = 18

    x = 9

    Plug x = 9 into the equations

    m angle 2 = 5x - 28 = 5 * 9 - 28 = 17

    m angle 4 = 3x - 10 = 3 * 9 - 10 = 17

    The sum of all angles in a parallelogram is 360,

    and we know: m angle 1 = m angle 3, so:

    m angle 1 + m angle 2 + m angle 3 + m angle 4 = 360

    m angle 3 + 17 + m angle 3 + 17 = 360

    2 * (m angle 3) = 360 - 17 - 17 = 326

    m angle 3 = 163
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