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

Question

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

Answer 1

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.