a transcersal goes throw two lines. the top right interior angle is (8x-10)°. the bottom right interior angle is (6y+20)°. the left of the transversal exterior bottom left is 7x° find the variables

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

A transversal goes through two lines. The top right interior angle is (8x-10)°. The bottom right interior angle is (6y+20)°. The left of the transversal exterior bottom left is 7x°. Find the variables.

Learn how to solve a transversal angle problem involving algebraic expressions. The problem covers key geometric concepts such as corresponding and supplementary angles, and uses algebra to find variables x and y. Suitable for students in Grades 8-10.

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