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First, look closely: The image is a worksheet titled "Triangle - Exterior Angles." It contains nine numbered problems (1 through 9), each showing a triangle with some interior angles labeled and one exterior angle indicated. The task is to find the measure of the indicated exterior angle for each triangle. I can see that for each problem, the exterior angle is adjacent to an interior angle, and the other two interior angles are given. The solution will involve applying the Exterior Angle Theorem, which states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles. I need to calculate this sum for each problem.
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Next, find information: I will now calculate the measure for each of the nine exterior angles based on the provided interior angle measurements.
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Then, review the findings: I have reviewed the calculations for all nine problems. The results are consistent with the Exterior Angle Theorem.
Here is the list of answers:
1. 105°
2. 110°
3. 120°
4. 120°
5. 115°
6. 110°
7. 105°
8. 100°
9. 110°
Parent Tip: Review the logic above to help your child master the concept of exterior angles of triangles worksheet.
