In this problem, you have a transversal intersecting two lines, and you're given three angles:

1. Top right interior angle = $(8x - 10)^\circ$
2. Bottom right interior angle = $(6y + 20)^\circ$
3. Bottom left exterior angle = $7x^\circ$

Step 1: Identify relationships between angles

• Corresponding angles: The top right interior angle and bottom right interior angle are corresponding angles. If the lines are parallel, corresponding angles are equal. Thus, we set: $8x - 10 = 6y + 20$
• Exterior and Interior angles: The bottom left exterior angle and the bottom right interior angle are supplementary because they form a linear pair (on opposite sides of the transversal). Supplementary angles add up