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LH, , Therefore, by Iheorem 10.12, the quadrilateral EME is cyclic., , C, EXERCISE 10.5 ik, 1. In Fig. 10.36, A.B and C are three points on a, circle with centre O such that Z BOC = 30° and, Z-AOB = 60°. If Dis a point on the circle other, than the are ABC, find ZADC., D, , 2020-21, , , , 2 A chord of a circle is equal to the radius of the, , circle. Find the angle subtended by the chord at, point on the minor arc and also at a point on the, ‘major ac., 3. InFig. 10.37, ZPQR= 100°, where P. Qand R are, points on a circle with centre O. Find Z OPR. IR, 4. InFig. 10.38, Z ABC =69°, Z ACB = 31°, find, ZBDC., BI Ic, , S.InFig. 10.39, A, B, C and D are four points ona, , circle. AC and BD intersect at a point E such, that 2 BEC = 130° and 2 ECD = 20°. Find, ZBAC., , 6 ABCDis acyclic quadrilateral whose diagonals intersect at a point E. If Z DBC =70°,, ZBACis 30°, find 2 BCD. Further, if AB = BC. find ZECD., , co)