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  3. 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?

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?

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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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