The congruent complement theorem states that angles AGI and BGH are congruent. This is because there is a pair of vertical angles next to angles AGI and BGH, and we also know that AGI and its adjacent angle add up to 90, and the same goes for BGH and its adjacent angle.
Hope this helps! :)
-12, -9, 6, 8 because negatives are smaller than positives.
First, change one of the equations to an y=x form I'll use the top one for example.
3x-2y=14
-2y=14-3x
y=-7+(3/2)x
Not that you can show what y is in terms of x, plug in the x side of the equation into the other equation, for y.
x+2(-7+(3/2)x)=10
Now, you can solve for x
x-14+3x=10
4x-14=10
4x=24
x=6
Using this value of x, we can now solve for y using one of the original equations.
(6)+2y=10
2y=4
y=2