ans pls Questions.
Dear Student,
We have to find in each figure.
(i) It is given that
As we know the angle subtended by an arc of a circle at the centre is double the angle subtended by it at any point on the remaining part of the circle.
Now ,
Hence
(ii) As we know that = x [Angles in the same segment]
line is diameter passing through centre,
So,
(iii) It is given that
So
And
Then
Hence
(iv)
(Linear pair)
12236919
And
x =
Hence,
(v) It is given that
is an isosceles triangle.
Therefore
And,
Hence,
(vi) It is given that
And
So
Hence, 12236919
(vii) (Angle in the same segment)
In we have
Hence
(viii)
As (Radius of circle)
Therefore, is an isosceles triangle.
So (Vertically opposite angles)
Hence,
(ix) It is given that
…… (1) (Angle in the same segment)
......(2) (Angle in the same segment)
Because and are on the same segment of the circle.
Now from equation (1) and (2) we have
Hence,
(x) It is given that
(Angle in the same segment)
Now in we have
Hence,
(xi)
(Angle in the same segment)
In we have
Hence
(xii)
(Angle in the same segment)
is an isosceles triangle
So, (Radius of the same circle)
Then
Hence
Regards