Three angles fit around a point. Two of the angles are 112^circ and 57^circ a) Work out the size of the third angle. Give your answer in degrees ()

Sure, let's take it step by step.Given information:We have three angles fitting around a point, let’s denote these by the capital letters A, B, and C. We know two of these angles. Angle A is 112° and angle B is 57°, given in the LaTeX format as and respectively.Task:We need to work out the size of the third angle C. We'll determine this in degrees ( ).Step 1: Recall the sum of angles around a pointRemember that the sum of angles around a point is equal to 360°. In terms of LaTeX format, this is usually shown as a circle known as a "full turn," represented by .Step 2: Sum up the given anglesFirst we should sum up the given angles. These include angle A which equals 112° and angle B which equals 57°. The sum will lead to .Step 3: Find the third angleLastly, since we know the total sum of a full turn (360°) and the sum of , we can get the size of the third angle (C) by subtraction as follows: .So, according to algebraic norms, . Thus, the third angle C is equal to . So, we can conclude: The size of the third angle, C, is .