What is the measure of angle ABC?
• 36°
• 43°
• 72°
• 144°

Given that the measure of ∠ADC = (7x + 2)° and arc AC = (8x - 8)°

We need to determine the measure of ∠ABC

The value of x:

The measure of ∠ADC can be determined using the formula,

Substituting the values, we get;

Thus, the value of x is 10.

The measure of ∠ADC:

Substituting the value x = 10 in the measure of ∠ADC = (7x + 2)°

We have;

Thus, the measure of ∠ADC is 72°

The measure of ∠ABC:

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.

x+y=90

x=30-y=x

step-by-step explanation:

if you understand you will get the answer

picture below