Que 6 plz solve this
Q.6. In the given figure, O is the centre of the circle passing through the points A, B, C and D and DC is produced to point E. If BAD = 60, find BCE and BOD.
Dear Student,
We will need to make use of two theorems to solve this question.
Theorem 1 : The angle subtended by an arc at the centre is double the angle subtended by it any point on the remaning part of the circle.
Theorem 2: The sum of opposite angles in an inscribed quadrilateral in a circle is 180o.
Now,
It is given that
Also, from Theorem 1,
Thus, angle BOD is 120o and angle BCE is 60o.
Hope it helps.
Regards
We will need to make use of two theorems to solve this question.
Theorem 1 : The angle subtended by an arc at the centre is double the angle subtended by it any point on the remaning part of the circle.
Theorem 2: The sum of opposite angles in an inscribed quadrilateral in a circle is 180o.
Now,
It is given that
Also, from Theorem 1,
Thus, angle BOD is 120o and angle BCE is 60o.
Hope it helps.
Regards