Question

Complementary angles If G= (6x-15)° and H= (3x+6)° find the x value and H

Answer 1

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°