Given that the measure of ∠ADC = (7x + 2)° and arc AC = (8x - 8)°
We need to determine the measure of ∠ABC
<u>The value of x:</u>
The measure of ∠ADC can be determined using the formula,
Substituting the values, we get;
Thus, the value of x is 10.
<u>The measure of ∠ADC:</u>
Substituting the value x = 10 in the measure of ∠ADC = (7x + 2)°
We have;
Thus, the measure of ∠ADC is 72°
<u>The measure of ∠ABC:</u>
The measure of ∠ABC can be determined using the central angle theorem.
Thus, we have;
Thus, the measure of ∠ABC is 36°
Hence, Option A is the correct answer.