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In the image, you have a diagram showing four angles at the intersection of two lines. The given angles are \(107^\circ\) and \(43^\circ\), and we need to find the missing angles.

Since the lines intersect, this forms two pairs of vertically opposite angles. Vertically opposite angles are always equal.

- The angle opposite \(107^\circ\) will also be \(107^\circ\).
- The angle opposite \(43^\circ\) will also be \(43^\circ\).

Additionally, the angles on a straight line add up to \(180^\circ\). So for the adjacent angles:

- \(107^\circ + 43^\circ = 150^\circ\), meaning the two angles on one side of the straight line add up to \(150^\circ\).
- Therefore, both adjacent angles sum to \(180^\circ\), making the angles around a point complete.

Thus, the missing angles are \(107^\circ\) and \(43^\circ

Solve a geometry problem involving finding missing angles in intersecting lines. Learn about vertically opposite angles and the linear pair theorem. The problem is suitable for students in Grades 6-8.

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