If the measure of angle A of triangle ABC is 5x + 10, the measure of angle B is x + 10, and the measure of angle C is 2x, which of the following is true of triangle ABC?

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The measures of the angles of a triangle add to 180&deg;. Therefore, 5x + 10 + x + 10 + 2x = 180, 8x + 20 = 180, 8x = 160, and x = 20. The measure of angle A is 5(20) + 10 = 110, the measure of angle B is (20) + 10 = 30, and the measure of angle C is 2(20) = 40. Since the largest angle of triangle ABC is greater than 90&deg; and no two angles of the triangle are equal in measure, triangle ABC is obtuse and scalene.

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