Question

In the given figure, ABCD is a cyclic quadrilateral. If O is the centre of circle
then prove that x=y+ z.​

Answer 1

Step-by-step explanation:

angle ADB=1/2angle AOB

ang ADB=1/2x

therefore ADB=180-x/2

SIMILARLY FCA=180-x/2

DEC=y

z+angle DEC+180-x/2+180-x/2=360

2z+2y+360-x+360-x=720

2z+2y=2x

z+y=X Hence proved

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