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To find the measure of the exterior angle, we need to first determine the unknown angle \( x \) in the triangle. 

### Step 1: Apply the Triangle Angle Sum Theorem
The sum of the interior angles of any triangle is always 180°. Therefore, we can write the equation:

\[
x + (x - 35) + 43 = 180
\]

### Step 2: Simplify the equation
Now, combine like terms:

\[
2x - 35 + 43 = 180
\]

\[
2x + 8 = 180
\]

### Step 3: Solve for \( x \)
Subtract 8 from both sides:

\[
2x = 172
\]

Now divide by 2:

\[
x = 86
\]

### Step 4: Calculate the exterior angle
The exterior angle is the supplement of the angle \( x \), since an exterior angle and its adjacent interior angle add up to 180°. Thus:

\[
\text{Exterior angle} = 180 - 86 = 94^\circ
\]

Therefore, the measure of the exterior angle is **94°**.

Would you like more details or have any further questions? 

Here are some related questions for practice:
1. What is the sum of all exterior angles of any polygon?
2. How do you calculate the exterior angle of a regular polygon?
3. How does the exterior angle theorem relate to the interior angles?
4. What happens to the exterior angle if the triangle is isosceles?
5. Can a triangle have more than one exterior angle at a single vertex?

**Tip:** In any triangle, the exterior angle is always equal to the sum of the two opposite interior angles!

Find the measure of the exterior angle given the triangle with angles x, (x - 35), and 43 degrees.

Solve a triangle problem by finding the exterior angle using the triangle angle sum theorem. This problem involves solving for unknown angles and understanding how interior and exterior angles relate. Suitable for students in Grades 8-10.

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