3. (MP) Construct Arguments Can the measure of an exterior angle of a triangle ever exceed 180^circ ? Explain your reasoning. __

## Step 1<br />The exterior angle of a triangle is formed by extending one of the sides of the triangle. This angle is always formed outside the triangle.<br /><br />## Step 2<br />The sum of the interior angles of a triangle is always 180 degrees. This is a fundamental property of a triangle.<br /><br />## Step 3<br />When we extend one of the sides of the triangle to form an exterior angle, we are essentially adding an additional angle to the sum of the interior angles. However, this additional angle is formed outside the triangle, not within it.<br /><br />## Step 4<br />Therefore, the measure of an exterior angle of a triangle can never exceed 180 degrees. This is because the sum of the interior angles of a triangle is always 180 degrees, and the exterior angle is simply an extension of one of these angles, not an addition to it.