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°.