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If angle ABC measures 70 degrees, what does angle ADC measure

User Esset
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Please consider the complete question.

We can see from attached file that angle ABC is central of circle B that corresponds to arc AC. We can also see that angle ADC is inscribed angle of circle B and corresponds to arc AC.

We know measure of an inscribed angle is half the measure of central angle, when both subtends to same arc.


\angle ADC=(1)/(2)\cdot \angle ABC


\angle ADC=(1)/(2)\cdot 70^(\circ)


\angle ADC=35^(\circ)

Therefore, the measure of angle ADC is 35 degrees.

If angle ABC measures 70 degrees, what does angle ADC measure-example-1
User Shazin
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