To solve this problem, you must know that an inscribed angle equals 1/2 of the arc that it intercepts.
Therefore, because <ABC intercepts arc ADC, we know that
the measure of angle ABC = 1/2 * (measure of Arc ADC)
OR, when the values are substituted into the equation
165 = (1/2) (5)(x-3)
When simplified, this equation equals
330 = 5x - 15
345 = 5x
x = 69
Therefore, your answer is the second option, that x = 69 degrees.
