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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You're on a roll — Step 1: Find the interior angle . Angles on a straight line sum to .
Step 2: Identify the type of triangle and its properties. The markings on sides AB and BC indicate that . Therefore, is an isosceles triangle. In an isosceles triangle, the angles opposite the equal sides are equal.
Step 3: Find the size of angle ABC using the sum of angles in a triangle. The sum of angles in a triangle is .
The size of angle ABC is: What's next?
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You're on a roll — Step 1: Find the interior angle BCA. 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.