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: Find the interior angle of the triangle adjacent to the exterior angle. Angles on a straight line sum to . Let the interior angle be .
Step 2: Use the exterior angle theorem. The exterior angle of a triangle is equal to the sum of the two opposite interior angles. In this case, angle is an exterior angle, and the two opposite interior angles are and . Substitute the value of : The size of angle is
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Find the interior angle of the triangle adjacent to the 132^ exterior angle. Angles on a straight line sum to 180^.
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.