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