Answer:
m∠G = 10
Step-by-step explanation:
Angles E and G are equal to each other, so we can set up an equation where both statements equal each other to solve for x.
[tex]3x+11=5x-9[/tex]
We then combine like terms, so the equation becomes:
[tex]3x-5x = -9-11[/tex]
Then we calculate it, giving us:
[tex]-2x=-20[/tex]
From here, we divide both sides by -2 so we can isolate the x:
[tex]\frac{-2x}{-2} = \frac{-20}{-2}[/tex]
The -2's cancel out, so we're left with:
[tex]x = \frac{-20}{-2}[/tex]
Which equals:
[tex]x = 10[/tex]
