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A triangle has one angle of 120 degrees and two equal angles. What is the measure of each of the equal angles?30 degrees90 degrees45 degrees60 degrees

Question

A triangle has one angle of 120 degrees and two equal angles. What is the measure of each of the equal angles?30 degrees90 degrees45 degrees60 degrees

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Solution

The sum of the angles in a triangle is always 180 degrees. If one angle is 120 degrees, then the sum of the other two angles must be 60 degrees (180 - 120 = 60). Since the problem states that the other two angles are equal, each must be half of 60 degrees, or 30 degrees. So, the measure of each of the equal angles is 30 degrees.

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