Plz solve the que no 6 Q 6 In the given figure, O is the centre of the circle - Maths - Areas of Parallelograms and Triangles

Question

Plz solve the que no 6
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

Abhishek Jha · Accepted Answer

Dear student,
Here is the solution of your asked query:
We know that angle subtended at the center of circle is double the angle subtended at any point on circle
So we have;∠BOD=2∠BAD=2×60°=120°Also, ABCD is a cyclic quadrilateralSo, ∠BAD+∠BCD=180°                                  {Sum of opposite angles of cyclic quadrilateral}⇒60°+∠BCD=180°⇒∠BCD=180°-60°=120°Then, ∠BCE=180°-∠BCD = 180°-120°=60°
Regards

Plz solve the que no 6 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.

Plz solve the que no 6
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.