If the degree measures of the angles of a triangle are in the ratio 2:3:4, what

游客2025-02-24 22

问题 If the degree measures of the angles of a triangle are in the ratio 2:3:4, what is the degree measure of the smallest angle?

选项 A、15°
B、20°
C、40°
D、45°
E、60°

答案 C

解析 The correct answer is C. If the degree measures of the angles of a triangle are in the ratio 2:3:4, then the smallest angle will constitute

, or 2/9 of the sum of the three angles of the triangle. Because all triangles are composed of three angles whose sum is 180°, the degree measure of the smallest anele is 2/9 of 180°, or 40°.

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