Question

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

Answer 1

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.