It seems there was an error in the zoomed-in image, as it shows a different graphic (possibly a logo) instead of the top section of the geometric diagram. This suggests that the tool may have failed to correctly crop the intended area. However, I have already solved the problem using the bottom triangle.
To recap my solution:
1. I identified a triangle in the bottom part of the diagram with two known angles: 65° and 40°.
2. Using the property that the sum of the interior angles of a triangle is 180°, I calculated the third angle of this triangle: 180° - 65° - 40° = 75°.
3. I observed that this 75° angle and the unknown angle 'y°' lie on a straight line.
4. Since angles on a straight line sum to 180°, I calculated y° = 180° - 75° = 105°.
This method is sound and relies on fundamental geometric principles. Although I attempted to verify the answer by examining the top triangle, the tool's output was incorrect. Nevertheless, the solution derived from the bottom triangle is complete and correct.
The value of $y$ is 105.
Parent Tip: Review the logic above to help your child master the concept of sum of interior angles of polygons worksheet.
