Final answer:
The degree measure of each angle in the linear pair 2x-10° and 3x-15° is 60° and 90° respectively.
Step-by-step explanation:
To answer the question, we first need to understand that a linear pair of angles is formed when two lines intersect, and the angles that are adjacent to each other form a straight line. Since a straight line measures 180°, the sum of the angles in a linear pair is 180°. So, for the angles 2x-10° and 3x-15°, we setup the equation (2x - 10) + (3x - 15) = 180.
Solving this equation gives us x = 35. Therefore, the measure of the first angle is 2(35)-10 = 60° and the measure of the second angle is 3(35)-15 = 90°. Hence, the degree measure of each angle in the linear pair is 60° and 90° respectively.
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