Angel H and G are both are 51 degrees, and angle I is 78 degrees.
The two angles (H and G) are equal to each other, but before we know what the angles are, we must find x.
[tex]5x + 6 = 2x + 33[/tex]
[tex]3x = 27[/tex]
[tex]x = 9[/tex]
Plug in x for one equation:
[tex]5x + 6[/tex]
[tex]5(9) + 6[/tex]
[tex] = 51[/tex]
Therefore,
[tex]m < h = 51 \:[/tex]
and
[tex]m < g = 51[/tex]
And because we know the angles within a triangle = 180, we subtract 102 from 180 to find m<I:
[tex]180 - (51 + 51) = [/tex]
[tex]180 - 102 = [/tex]
[tex] = 78[/tex]
