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The problem states: "If an exterior angle of a triangle has a measure of \(35^\circ\), what is the measure of the adjacent interior angle?"

In a triangle, the sum of an exterior angle and its adjacent interior angle is always \(180^\circ\) (since they form a linear pair). Therefore, the adjacent interior angle can be found by subtracting the exterior angle from \(180^\circ\).

\[
\text{Interior angle} = 180^\circ - 35^\circ = 145^\circ
\]

Thus, the measure of the adjacent interior angle is \(145^\circ\).

Would you like more details or have any further questions?

Here are 5 related questions to consider:
1. What is the sum of the interior angles in any triangle?
2. How would you find the other interior angles in a triangle if one is known?
3. What is the relationship between exterior angles and the sides of a triangle?
4. How can you apply this concept to polygons with more than three sides?
5. How does the concept of a "linear pair" help in geometry?

**Tip**: Always remember that the sum of an interior angle and its adjacent exterior angle is \(180^\circ\), forming a straight line.

If an exterior angle of a triangle has a measure of 35°, what is the measure of the adjacent interior angle?

Learn how to find the adjacent interior angle of a triangle when given the exterior angle of 35°. Understand key geometric concepts and use the linear pair theorem to solve the problem. Suitable for middle school students in grades 6-8.

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