Final answer:
To find the measure of both angles in a linear pair, we can set up an equation and solve for the unknown angle. One angle measures 105 degrees and the other angle measures 80 degrees.
Step-by-step explanation:
To find the measure of both angles in a linear pair, let's assume one angle is x degrees. According to the given information, the other angle is 5 more than 2/3 of x.
So, the measure of the other angle would be (2/3)x + 5 degrees.
Since the sum of angles in a linear pair is 180 degrees, we can set up the following equation:
x + (2/3)x + 5 = 180
Now, we can solve for x:
(5/3)x + 5 = 180
(5/3)x = 175
x = 175 * (3/5) = 105
Therefore, one angle measures 105 degrees and the other angle measures (2/3)(105) + 5 = 75 + 5 = 80 degrees.