Answer:
x = 11 and H = 39°
Step-by-step explanation:
Complementary angles add up to 90 degrees, so angles G and H will add up to 90 degrees.
Create an equation by adding the expressions together and setting it equal to 90.
(6x - 15) + (3x + 6) = 90
Solve for x by adding like terms first:
9x - 9 = 90
Isolate x and solve:
9x = 99
x = 11
Then, find H by plugging in 11 as x into the expression:
3x + 6
3(11) + 6
33 + 6
= 39
So, x = 11 and H = 39°
