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11 October, 17:02

In triangle XYZ, an exterior angle to angle X had measure 100° and an exterior angle to angle Z has measure 120°. Which side of triangle XYZ is the longest?

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  1. 11 October, 18:33
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    Side YZ is the longest

    Step-by-step explanation:

    The longest side is across from the largest angle.

    Angle X must be 80° because its exterior angle is 100° and they're supplementary. Angle Z is 60° for the same reason. Inside a triangle is always 180°, and since the measures of angle Z and X add up to 140°, so there's 40° left, meaning angle X is the largest.

    Angle X is across from size YZ, so that's the longest
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