PreCalculus follow up question Reiny
posted by DW .
Determine the number of triangles that can be formed with the given information.
and if it forms two possible triangles solve all unknown angles and sides
Angle A=116 degrees
a=10
b=11
but if you add 81.4 (measure of angle B) plus 116 (measure of angle A) you get 197.368 which is over 180 degrees....
so that would make measure of angle C negative which is why I'm confused

I think we posted simultaneously.
As a further explanation ....
Let's attempt to draw the triangle.
Draw a base and then construct a side making a 116° with that base.
mark off 11 units, e.g. 11 cm
set your compass at 10 cm , centre at the end of the 11 cm line and draw an arc towards the base.
As you can see, it cannot reach the base.