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opposite angles of a quadrilateral

Example 1 : In the figure given below, PQ is a diameter of a circle with centre O. Its opposite angles are also congruent to each other. If bisectors of opposite angles of a cyclic quadrilateral ABCD intersect the circle, circumscribing it at the points P and Q, prove that PQ is a diameter of the circle. What's the Difference Between the ACT and SATs? 3. Solve for the value of x. ABCD is a convex quadrilateral satisfying the following: AB= BC= CD, AD= DB, and \angle BAD= 75^\circ. The bisectors of its opposite angles A and C intersect the circle circumscribing it at the points P and Q respectively. A quadrilateral having all the vertices on the boundary of the circle is called a cyclic quadrilateral. Find (i)

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