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17 June, 12:12

In a parallelogram, one angle is 9 times the size of another. Find the measures of the angles.

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  1. 17 June, 13:34
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    In a parallelogram, opposite angles are congruent. However, the same thing cannot be said for the other.

    You can label one pair of opposite angles with x and the other 9x.

    You also know that each quadrilateral has interior angles that add up to 360 so you can create the equation of

    9x+9x+x+x=360

    which can be simplified into

    20x=360

    x=18

    Now, you know the angle measures of one pair of opposite angles. to find the other you plug in 18 to our other equation and multiply 9 to get 162.

    The angles of the parallelogram is 18,18, 162 and 162.

    Note: you can check if this is right if all the angles add up to 360.
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