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<u>Given</u>:
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.
<u>Value of y:</u>
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.
<u>Measure of arc ABC:</u>
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°