in the diagram below, ab and bc are tangent to o. what is the measure of adc
![in the diagram below ab and bc are tangent to o what is the measure of adc class=](https://us-static.z-dn.net/files/d71/f8d72fbfbc6351dc54b40cfc3278e630.png)
Answer:
The correct option is B. 252°
Step-by-step explanation:
There are 360° in the circle.
So using the relation :
[tex]\frac{\text{(arc ADC - arc AC)}}{2} = \angle ABC[/tex]
⇒ arc ADC - arc AC = 2 × ∠ABC
⇒ arc ADC - 108° = 2 × 72°
⇒ arc ADC - 108° = 144°
⇒ arc ADC = 144° + 108°
⇒ arc ADC = 252°
So, The measure of ∠ADC = 252°
Hence, The correct option is B. 252°