1
00:00:00,670 --> 00:00:09,970
Let's do this question, the sides of A, B and C of Cardinal ABCDE are extended two points, B and

2
00:00:09,970 --> 00:00:19,240
Q respectively is angle A, D, Q, that's angle one over here, plus angle CBP.

3
00:00:19,480 --> 00:00:20,920
That's angle two over here.

4
00:00:21,130 --> 00:00:25,900
Equal to angle E plus angle seem give reason was the video.

5
00:00:26,140 --> 00:00:28,180
Give it a try and then let's do it together.

6
00:00:28,720 --> 00:00:29,170
All right.

7
00:00:29,170 --> 00:00:29,620
We're back.

8
00:00:29,620 --> 00:00:30,880
I hope you've given it a try.

9
00:00:31,120 --> 00:00:36,580
Now let me name these angles as angle three and four and five and angle six.

10
00:00:37,000 --> 00:00:43,450
We know that in triangle a DC angle one is equal to angle three plus angle four.

11
00:00:43,660 --> 00:00:47,500
Why is that so it's as per the exterior angle property of a triangle.

12
00:00:47,500 --> 00:00:47,800
Right.

13
00:00:48,010 --> 00:00:51,790
The angle is equal to the sum of the interior.

14
00:00:51,790 --> 00:00:58,750
Opposite angles to angle one is an exterior angle of triangle ADC and the interior opposite angles or

15
00:00:58,780 --> 00:01:01,300
angle one are angle three and angle four.

16
00:01:01,630 --> 00:01:05,800
Similarly, angle two is equal to angle five plus angle six.

17
00:01:05,830 --> 00:01:06,080
Right.

18
00:01:06,340 --> 00:01:07,500
The reason is the same.

19
00:01:07,990 --> 00:01:14,410
Now if I add angle one, an angle two, that's equal to angle eight plus Anglesey.

20
00:01:14,410 --> 00:01:18,040
Right, because I have to add three, four, five and six.

21
00:01:18,040 --> 00:01:24,580
Three plus five gives me and four plus six gives me C therefore angle one plus angle two will be equal

22
00:01:24,580 --> 00:01:27,460
to angle A plus angle C.
