Final answer:
By solving the linear equation derived from the sum of the linear pair of angles, the first angle measures 70° and the second angle measures 110°, which are not reflected in the provided options.
Step-by-step explanation:
When dealing with linear pairs of angles, we're talking about two angles that add up to 180 degrees. In this case, we have two expressions for the angles: (2x + 2)° for the first angle and (3x + 8)° for the second angle. To find the value of x, we set up the equation (2x + 2) + (3x + 8) = 180.
This simplifies to 5x + 10 = 180. Solving for x gives us x = 34. Substituting this back into the expressions for each angle, the first angle is (2(34) + 2)°, which equals 70°, and the second angle is (3(34) + 8)°, which equals 110°. So, the measures of each angle are 70° and 110° respectively.
Therefore, none of the options (a), (b), (c), or (d) provided in the question present the correct measures of the angles. When calculating the angles' measures after finding the value of x, we clearly see that the correct measures are not listed in the given choices.