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Complementary angles are two angles whose measures add up to 90 degrees.
Let's set up an equation to represent this relationship:
7x + 8x = 90
Combining like terms, we get:
15x = 90
Dividing both sides by 15, we find:
x = 6
Now we can substitute this value of x back into the expressions for the angle measures:
First angle measure: 7x = 7 * 6 = 42 degrees
Second angle measure: 8x = 8 * 6 = 48 degrees
Therefore, the value of n is 6, and the measure of the first angle is 42 degrees, while the measure of the second angle is 48 degrees.