Question

If O is the centre of the circle, find the value of x in each of the the following .​

Answer 1

Answer:

230

Step-by-step explanation:

angle AOC=(360-x)........1

Angle AOC=2*angleAEC

angleAEC=angleAOC/2

AEC=(360-x)/2(by1)..........2

angleABC+angleCBL=180

(linear pair angles)

angleABC+65=180

angleABC=115

AngleAEC+angleABC=180

(since opposite angle in a cyclic quadrilateral are supplementary)

(360-x)/2 +angleABC=180

(360-x)/2 + 115 =180 (BY2)

(360-x+230)/2=180 (taking LCM 2)

(360-x+230)=360

-x+230=0

(cancelling 360 on both the sides since 180*2=360)

-x= -230

x=230