So there is a supplementary angle, to the left side it measures (4n + 22) to the right side it measures (8n - 10)

Question

determine the value of n in the angle pair above. (1 point) Responses n =12 n =12 n = 14 n = 14 n = 148 n = 148 n = 168

Answer 1

To find the value of n, we know that supplementary angles form a linear pair, which means they sum up to 180 degrees.

So, we set up an equation:

(4n + 22) + (8n - 10) = 180
4n + 22 + 8n - 10 = 180
12n + 12 = 180
12n = 168
n = 168 / 12
n = 14

Therefore, the value of n is 14. So the correct answer is:
n = 14