Question

In the given figure,O is the center of the circle. Find reflex angle AOC. Given: Angle B=68 degree.

Answer 1

Answer:

136

Step-by-step explanation:

By linear pair property,

Angle ABC = 180- 68 = 112

As AEBC is cyclic quadrilateral, so, sum of opposite angles is 180. So,

Angle AEC = 180 - 112 = 68

Angle made by arc on centre is double the angle made by it on circumference. So,

angle AOC = 2*68 = 136

Answer 2

Hence, angle AEC = 68° and angle AOC = 136°