https://file.aiquickdraw.com/mathbot/file/1727312368187wgvhp50y.jpg

To solve for \( g \) and \( h \), we can use the concept of vertical angles and linear pairs. 

### Step 1: Use vertical angles
Vertical angles are congruent (equal). So:
- \( h \) is a vertical angle to the 112° angle, meaning:
  \[
  h = 112^\circ
  \]

### Step 2: Use linear pairs
Linear pairs of angles sum to 180°. Therefore:
- \( g \) and 112° form a linear pair, so:
  \[
  g + 112^\circ = 180^\circ
  \]
  Solving for \( g \):
  \[
  g = 180^\circ - 112^\circ = 68^\circ
  \]

### Final answers:
- \( g = 68^\circ \)
- \( h = 112^\circ \)

Let me know if you'd like more details or further clarification!

Here are 5 related questions to further practice:
1. What is the measure of angle \( k \) if \( m = 82^\circ \)?
2. What is the sum of angles in a straight line?
3. How can you verify that two angles are vertical angles?
4. What is the difference between complementary and supplementary angles?
5. Can you solve for \( m \) if the value of \( k \) is given as 100°?

**Tip**: Always remember that vertical angles are equal and linear pairs add up to 180°.

Find the measure of the missing angles g and h.

Learn how to find the missing angles g and h by using the concepts of vertical angles and linear pairs. Vertical angles are congruent, and linear pairs sum to 180 degrees. This problem is ideal for students in Grades 7-9.

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