I see the image you've uploaded. Let's work through the problems shown.

7. Given:

• $\overrightarrow{EF} \parallel \overrightarrow{GH}$
• $m \angle FGJ = 43^\circ$
• $m \angle HGI = x$

Problem: Find $x$

Since $\overrightarrow{EF} \parallel \overrightarrow{GH}$, and $\overrightarrow{FGJ}$ and $\overrightarrow{HGI}$ are on the transversal line:

• $\angle FGJ$ and $\angle HGI$ are corresponding angles.
• By the Corresponding Angles Postulate, $m \angle FGJ = m \angle HGI$.
• Therefore, $x = 43^\circ$.

8. Given:

• $\overrightarrow{ABC}$ and $\overrightarrow{DEF}$ are on a line, forming a linear pair.
• $m \angle ABC = 67^\circ$
• $m \angle EBD = x$

Problem: Find $x$

Since $\overrightarrow{ABC}$ and $\overrightarrow{DEF}$ are on a straight line, the angles $\angle ABC$ and $\angle EBD$ form a linear pair. Linear pairs add up to $180^\circ$:

• $x + 67^\circ = 180^\circ$
• Therefore, $x = 180^\circ - 67^\circ = 113^\circ$.

9. Given:

• $MN$ and $RS$ intersect at point $T$.

There isn't a specific question provided here, but if you need more details or a specific query solved, feel free to ask!

Would you like any further details or have any additional questions? Here are 5 related questions to consider:

1. How do we determine angles in parallel lines cut by a transversal?
2. What is the significance of corresponding angles in geometry?
3. How do linear pairs differ from supplementary angles?
4. Can two non-adjacent angles form a linear pair?
5. How can you find the angle sum of any polygon?

Tip: When dealing with parallel lines, always look for angle relationships like corresponding, alternate interior, or same-side interior angles. These relationships often simplify the problem significantly.