Two complementry angle have measures of (7x) and (8x)

what is the value of n? what is the value of each angle mesuare

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.