During a rotational motion analysis, if an isosceles triangle has a single acute angle of 6 degrees, what are the other two larger angles?

In an isosceles triangle, two angles are equal, and the sum of the angles in any triangle is always 180 degrees. If one angle is given as 6 degrees, this means that the other two angles must be equal and will be represented as 'x'. Therefore, you can set up the equation:

6 + x + x = 180.

This simplifies to:

6 + 2x = 180.

Subtracting 6 from both sides gives:

2x = 174.

Dividing by 2 results in:

x = 87 degrees.

Thus, the two larger angles in the triangle, which are equal, are each 87 degrees. This is why the correct choice indicates that both angles are 87 degrees. The other options do not satisfy the angle sum property of triangles or the requirement for the angles to be equal in an isosceles triangle, making them incorrect.