Question 728584
All triangles have sides, but right triangles and isosceles triangles have legs.
The legs of a right triangle are the sides that are at right angles to each other.
Trigonometric ratios (sine, cosine, tangent) are defined based on the measures of the sides of a right triangle.
The tangent of an angle is
tangent = opposite side/adjacent side.
The smaller angle, is the one opposite the leg measuring 146, and its tangent is
{{{146/186=about0.785}}} (rounding)
{{{tan^-1(0.785)=about38.1^o}}} (rounding)
The measure of the other angle would be {{{90^o-38.1^o=51.9^o}}}