Find the value of 'x' and state which angle on triangle ABC is smallest. A = right angle, B = 2x + 30, C = 2x

Where the angles of a triangle A+B+C = 180 degrees, then if follows that (where A = 90, B = 2x + 30, C = 2x):180 = 90 + 2x + 30 + 2x180 = 120 + 4x60 = 4x15 = xTherefore, it follows that A = 90, B = 60, C = 15, so C is the smaller angle.This question measures a students grasp in a range of mathematical areas, such as geometry, with the students interpretation of the diagram and calculus, where the student has to use algebra and simultaneous equations to come to a soloution