This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
Step 1: Identify the type of angle . The diagram shows a triangle with two interior angles given as and . Angle is an exterior angle of this triangle. An exterior angle is formed by extending one side of a polygon and the adjacent side.
Step 2: Apply the Exterior Angle Theorem. The Exterior Angle Theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of its two remote (non-adjacent) interior angles. In this case, angle is the exterior angle, and the two remote interior angles are and .
The size of angle is .
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This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.