<ADC=35°
<ABC=?
<ADC is an inscribed angle, then:
<ADC= (m arc AC)/2
Replacing <ADC=35°
35°=(m arc AC)/2
Solving for m arc AC. Multiplying both sides of the equation by 2:
2(35°)=2[(m arc AC)/2
70°=m arc AC
m arc AC=70°
<ABC is a central angle, then:
<ABC = m arc AC
and m arc AC=70°
<ABC=70°
Answer: 70°