Final answer:
The correct expression for angle C in triangle ABC, given the expressions in terms of x, is 2x - 10°, which corresponds to option B in the question.
Step-by-step explanation:
The given problem involves finding the measure of angle C in triangle ABC where the angles are given in terms of a variable x. The problem provides three expressions for the angles as follows: angle A = 3x + 28°, angle B = 5x + 52°, and angle C = 2x – 10°. To find the measure of angle C, we would typically use the fact that the sum of angles in a triangle is 180°. However, the multiple-choice answers suggest we don't have to solve for x, but instead, need to identify the correct expression for angle C.
Therefore, referring to the options given, option B, which states angle C is 2x – 10°, is the correct expression for angle C, according to the information provided in the question.