Question

Plz help me with this ASAP!

Answer 1

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.

`5x + 6 = 2x + 33`

`3x = 27`

`x = 9`

Plug in x for one equation:

`5x + 6`

`5(9) + 6`

`= 51`

Therefore,

`m < h = 51 \:`

and

`m < g = 51`

And because we know the angles within a triangle = 180, we subtract 102 from 180 to find m<I:

`180 - (51 + 51) =`

`180 - 102 =`

`= 78`