Question

A circle is centered on point B .Points A ,C and D lie on its circumference. If angle ABC 124 measure,what does angle ADC measure?

Answer 1

An inscribed angle is half the measure of its intercepted arc, so

m∠ADC = (1/2)(m∠ABC)

Substitute 23° in for m∠ADC

23° = (1/2)(m∠ABC)

Multiply both sides by 2

46° = m∠ABC

Answer 2

SOLITION:-

angle ADC = 62°.

Given that ,

centre of circle is point 'B'.

three points 'A' , 'C' and 'D' lies on the cicumference of the

circle.

And angle ABC = 124°.

So, the angle ADC = 62°.

Because the angle made from the center of circle is twice

the angle made by the three point on the circumference

from same base.

THANKS.