01
Sep
Example 4: In Fig 10.33, ABCD is a cyclic quadrilateral in which AC and BD are its diagonals. If ∠ DBC = 55° and ∠ BAC = 45°, find ∠ BCD.
Prerequisite
There are multiple concepts that one should be aware of before solving this question. The question in itself is quite an easy to solve but would need a good knowledge of some very important concepts of circles and triangles. Watch these video tutorials before solving this question.
Theorem 10.9 – Angles in the same segment of a circle are equal.
Theorem 6.7 – Angle sum property of triangle – The sum of the angles of a triangle is 180°
Theorem 10.11 – The sum of either pair of opposite angles of a cyclic quadrilateral is 180 degrees.
Chapter 10 – Circles
