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26 January, 17:04

The angles of an equilateral triangle are congruent. If x represents the measure of one angle of an equilateral triangle, which equation represents the sum of the angle measures of the triangle?

1. x + x = 90%

2. x + x + x = 90%

3. x + x = 180%

4. x + x + x = 180%

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  1. 26 January, 17:24
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    4) x + x + x = 180°

    An equilateral triangle has three sides of equal length. Its interior angles are also equal. Since interior angles of a triangle should sum up to 180°, then each angle is 60°, making each angle congruent with one another.

    So if x is equal to one angle and triangles have three angles then,

    x + x + x = 180°

    or 3x = 180°
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