1
00:00:00,690 --> 00:00:04,990
那么，已知射线OL垂直于射线ON.

2
00:00:04,990 --> 00:00:07,640
所以，OL垂直于ON

3
00:00:07,640 --> 00:00:10,020
所以我们知道这里这个角是直角

4
00:00:10,020 --> 00:00:11,600
是一个90度的角

5
00:00:11,600 --> 00:00:15,190
然后它告诉我们角LOM等于

6
00:00:15,190 --> 00:00:18,060
2x加46

7
00:00:18,060 --> 00:00:22,360
所以LOM， 这个角，在这儿

8
00:00:22,360 --> 00:00:24,937
就等于2x加46

9
00:00:24,937 --> 00:00:28,100
然后

10
00:00:28,100 --> 00:00:31,000
这个角，它告诉我们, 角MON

11
00:00:31,000 --> 00:00:34,480
等于3x减6

12
00:00:34,480 --> 00:00:38,440
所以这里这个角是3x减6

13
00:00:38,440 --> 00:00:40,730
所以题目问，找到角MON的度数

14
00:00:40,730 --> 00:00:43,339
所以我们找到了这个角，就在这儿

15
00:00:43,339 --> 00:00:45,380
如果我们知道x是多少，我们就知道它是多少了

16
00:00:45,380 --> 00:00:47,505
如果我们知道x的值，那它就是3倍

17
00:00:47,505 --> 00:00:48,720
减6

18
00:00:48,720 --> 00:00:50,330
有一件我们知道的事就是，

19
00:00:50,330 --> 00:00:52,020
如果我们把这两个角加起来

20
00:00:52,020 --> 00:00:53,710
这两个邻角

21
00:00:53,710 --> 00:00:56,880
外边的射线组成一个直角

22
00:00:56,880 --> 00:01:00,130
这两个角加起来是90度

23
00:01:00,130 --> 00:01:02,820
我想我们可以从这里开始假设，来解决角度的问题

24
00:01:02,820 --> 00:01:12,990
所以，来看，2x加46加3x减6

25
00:01:12,990 --> 00:01:17,410
加起来等于90度

26
00:01:17,410 --> 00:01:19,610
这两个角是互补角

27
00:01:19,610 --> 00:01:21,830
所以加起来是90度

28
00:01:21,830 --> 00:01:23,164
加起来90度

29
00:01:23,164 --> 00:01:24,580
现在我们来简化

30
00:01:24,580 --> 00:01:25,460
我们有2个x

31
00:01:25,460 --> 00:01:26,690
还有另外3个x

32
00:01:26,690 --> 00:01:29,720
所以加起来等于5个x

33
00:01:29,720 --> 00:01:32,419
然后是46，减去6

34
00:01:32,419 --> 00:01:33,710
46减6

35
00:01:33,710 --> 00:01:36,700
加40等于90

36
00:01:36,700 --> 00:01:39,220
等于90

37
00:01:39,220 --> 00:01:41,550
两边都减去40

38
00:01:41,550 --> 00:01:42,450
来

39
00:01:42,450 --> 00:01:45,060
两边都减40

40
00:01:45,060 --> 00:01:49,140
在左边，只剩下5x，

41
00:01:49,140 --> 00:01:53,220
在右边，剩下50

42
00:01:53,220 --> 00:01:55,950
然后两边都除以5

43
00:01:55,950 --> 00:02:00,630
然后x就等于10

44
00:02:00,630 --> 00:02:02,240
现在，答案是10

45
00:02:02,240 --> 00:02:04,280
我们算出了x的值

46
00:02:04,280 --> 00:02:07,470
但是题目问的是角MON的度数

47
00:02:07,470 --> 00:02:11,770
我们已经知道角MON

48
00:02:11,770 --> 00:02:23,300
等于3x减6，也就等于3乘以10，减去6

49
00:02:23,300 --> 00:02:27,430
（我应该换成绿色）

50
00:02:27,430 --> 00:02:32,550
减6，等于24度