Find the measure of the smallest angle of the triangle.

Question

one side is 96 degrees
the second is 2x
the last side is x+12

Answer 1

To find the smallest angle of the triangle, we need to determine the measure of the smallest side.

Let the smallest side be 2x. The largest side is 96 degrees, so we have:

96 > x + 12
84 > x

Since x is positive, the smallest possible value for x is 1.

Thus, the smallest side is 2(1) = 2 degrees.

Therefore, the measure of the smallest angle of the triangle is 2 degrees.