00:01
Hi there.
00:02
In each of the following diagrams, we are asked to solve for x and we are asked to solve for x and we have to find the relationship, angle relationship which we used to solve for x.
00:13
Okay.
00:14
So let's see how we'll do this.
00:19
In the first figure, if we observe, this is a 90 degree angle.
00:25
So we can say that these two angles are complementary.
00:28
Okay.
00:29
That is the sum of these angles will be 90 degree.
00:32
So, the relationship which we used in a part is that the angles are complementary.
00:38
The angles are complementary.
00:41
In a, we can say that angles are complementary.
00:46
So the sum of those angles will be 90 degree.
00:50
So what we can see is that the angle that is 6x, 6x plus 4x plus 10 degree is equal to 90 degree.
01:03
And from here we can get that 10 x is equal to 90 degree minus 10 degree and that is equal to 80 degree.
01:10
So from here we'll get that x is equal to 80 degree divided by 10 which is equal to 8 degree.
01:17
So the value of x is 8 degree.
01:20
X is equal to x is equal to 8 degree and the thing is that the relationship is that angles are angles are complementary.
01:32
Angles are complementary.
01:34
That means the sum of those angles or those two angles is 90 degree.
01:41
Now if we check the second figure, we can see that these angles are on the straight line, on a straight line.
01:47
So these angles will be supplementary.
01:49
That means the angles sum will be 180 degree.
01:52
So in the b part, the relationship which is used as that, in the b part the relationship which is used as that, angles are supplementary.
02:02
Angles are supplementary.
02:06
So the sum of those angles will be 180 degree.
02:09
So we have that angles that is 5x plus 13 degree plus plus 3x plus 7 degree is equal to 180 degree.
02:23
And from here we'll get that 8x plus 20 degree is equal to 20 degree.
02:30
8x plus 20 degree.
02:31
8x.
02:32
Plus 20 degree is equal to 180 degree.
02:36
And then we'll get this is, this implies that 8 x is equal to 160 degree and x is equal to 160 degree divided by 8, which is equal to 20 degree.
02:50
So here if for this part we have that the value of x is equal to 20 degree and the relationship which used is that angles are supplementary angles are supplementary.
03:08
That is, the sum of those angles is 180 degree...