2. 职称英语
  3. [img]2014m9x/ct_egreqm_egreqjs_0014_20148[/img]In the figure above, if m丨丨k and

[img]2014m9x/ct_egreqm_egreqjs_0014_20148[/img]In the figure above, if m丨丨k and

游客2025-02-24  37
问题
In the figure above, if m丨丨k and s = t + 30, then t =
选项 A、30
B、60
C、75
D、80
E、105
答案 C
解析 When trying to solve a geometric problem, it is often helpful to add any known information to the figure. Since corresponding angles have equal measures, you could place two more angle measures on the figure, as shown below.

    Now, from the figure, you can see that s + t = 180. Therefore, since it is given that s = t + 30, you can substitute t + 30 for s into the equation s + t = 180 and get that(t + 30)+ t = 180, which can be simplified as follows.
(t + 30)+ t= 180
2t = 150
t = 75
The correct answer is Choice C.
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