Respuesta :

<IMK=<GMH because they are vertical angles.  Therefore:

84=4x

*Divide both sides by 4*

21=x


<IMK+<KMH=180 because they are supplementary angles.  Therefore:

84+<KMH=180

*Subtract 84 from both sides*

<KMH=96


Hope this helps!!

Answer:


Step-by-step explanation:

Okay im awful at geometry, but I do know a few things.

84 and 4x must be equal to each other, as they are vertically opposite angles, meaning that

84 = 4x so

x = 21

To find angle M, you must know that the sum of angles across a line is 180 degrees.

So... angle m + 4x = 180

we know that 4x is 84 from above so

M + 84 = 180

180 minus 84 gives

M = 96 degrees

Hopefully this helps!