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  3. If the sum of the measures of two angles is 180°, each angle is a supplement of

If the sum of the measures of two angles is 180°, each angle is a supplement of

游客2024-01-12  46
问题 If the sum of the measures of two angles is 180°, each angle is a supplement of the other, whereas, if the sum of their measures is 90°, each is a complement of the other.

Column A                                       Column B
The measure of an angle with                   The measure of an angle with
a supplement that measures 130°                 a complement that measures 40°
选项 A、if the quantity in Column A is greater
B、if the quantity in Column B is greater
C、if the two quantity are equal
D、if the relationship cannot be determined from the information given
答案 C
解析 若两个角度数的和等于180o，则称一个角是另一个角的补角；若两角度数和等90o，则称一个角是另一个角的余角。
解：本题的正确答案为(C)。比较的左项为补角等于130o的角的度数；比较的右项为余角等于40o的角的度数。可能一些考生对Supplement(补角)和complement(余角)不认识，导致读题不清。其实在一时想不到是余角或补角时，只要弄清两者之间关系即可，根据题意可得：180o-130o=90o-40o
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