a. The size of angle x = 74 degrees. b. The theorem that allows you to find x is, "angles in the same segment are equal."
What is the angles in the same segment theorem?
This circle theorem states that angles formed by the same arc at the circumference are congruent, indicating that angles within the same segment possess equal measures.
In this case, angles x and 74 degrees are on the same segment, thus we will have:
m∠x = 74 degrees based on the theorem that says angles in the same segment are equal.
Thus, the answers are:
a. x = 74 degrees.
b. angles in the same segment are equal.