单选题If the measures of the angles of a triangle are in the ratio of 3: 4: 5, what is the measure of the smallest angle of the triangle?A25B30C45D60E75
单选题
If the measures of the angles of a triangle are in the ratio of 3: 4: 5, what is the measure of the smallest angle of the triangle?
A
25
B
30
C
45
D
60
E
75
参考解析
解析：
If the angles of a triangle are in the ratio of 3: 4: 5, let 3x, 4x, and 5x represent the measures of the three angles. Since the sum of the measures of the angles of a triangle is 180, 3x+4x+5x = 180, 12x = 180, x=180/12 = 15. Hence, the measure of the smallest angle of the triangle is 3x =45.
If the angles of a triangle are in the ratio of 3: 4: 5, let 3x, 4x, and 5x represent the measures of the three angles. Since the sum of the measures of the angles of a triangle is 180, 3x+4x+5x = 180, 12x = 180, x=180/12 = 15. Hence, the measure of the smallest angle of the triangle is 3x =45.
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