Consider a triangle where one of the angles measures 30 degrees. If the lengths of the two sides adjacent to this angle are equal and measure 5 units each, what type of triangle does this describe?

Recall that a triangle is classified into different types based on its angles: an equilateral triangle has all angles equal to 60 degrees, an isosceles triangle has at least two equal angles, and a scalene triangle has all sides and angles of different measures.