What is the arc measure of abc in degrees

Given:

The measure of arc AB is (4y + 6)°

The measure of arc BC is (20y - 11)°

The measure of arc AC is (7y - 7)°

We need to determine the measure of arc ABC.

Value of y:

The value of y is given by

Substituting the values, we get;

Adding the like terms, we have;

Adding both sides of the equation by 12, we have;

Thus, the value of y is 12.

Measure of arc ABC:

The measure of arc ABC can be determined by adding the measure of arc AB and arc BC.

Thus, we have;

Substituting y = 12, we get;

Thus, the measure of arc ABC is 283°