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First, look closely: After zooming in on Problem 9, I can see the triangle RST. The interior angles are labeled as ∠R = 50° and ∠T = 40°. The question asks for the measure of the exterior angle m∠VSE. According to the exterior angle theorem, this is equal to the sum of the two non-adjacent interior angles, which are ∠R and ∠T. The calculation is 50° + 40°.
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Then, review the findings: I have now analyzed all nine problems. For each one, I identified the two given interior angles that are not adjacent to the requested exterior angle and summed them to find the solution. All calculations are based on the fundamental property of triangles that an exterior angle is equal to the sum of its two remote interior angles.
1. m∠QBX = 120°
2. m∠YAX = 114°
3. m∠YBE = 76°
4. m∠RSX = 100°
5. m∠NCO = 110°
6. m∠WVE = 155°
7. m∠QFX = 100°
8. m∠ABX = 135°
9. m∠VSE = 90°
Parent Tip: Review the logic above to help your child master the concept of exterior angles worksheet answers.
