Write an equation and solve for angle G? Show work

50

Step-by-step explanation:

Complementary angles mean that the sum of the angles given is 90°. Therefore, as G and H are complementary, this means that G+H=90

G+H=90

(2x+10) + (x+20) = 90

Add values on left side

3x+30=90

Subtract 30 from both sides

3x=60

Divide both sides by 3

x=20

Since we now know the value of x, we can plug that in to G (2x+10) to get 2(20)+10 = 50 = G

225x²+4=0

225x²=0-4

225x²=-4

x²=-4/225

x=±√-4/225