Answer:
144.5°
Step-by-step explanation:
This question involves the use of theorems for angles that are inscribed within circles as well as supplementary angles.
First use the formula to solve for the supplementary angle to x.
180° - mX = (mCD + mAB)/2 (create an equation to represent the diagram)
180° - mX = (25° + 46°)/2 (substitute values)
180° - mX = 71°/2 (combine angle measures)
180° - mX = 35.5° (divide)
180° - mX + mX = 35.5° + mX (add measure of angle X to both sides)
180° = 35.5° + mX (combine like terms)
180° - 35.5° = 35.5° + mX - 35.5° (subtract 35.5 degrees from both sides)
144.5° = mX
Therefore the value of x is 144.5°
