Question

What is the right answer. Thank you!!!! :) there is a picture also!

Answer 1

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.