We are told that angles F and G are complementary, which means their sum is 90°:

$\text{Angle F} + \text{Angle G} = 90°$

You are given:

• Angle F = $2x + 7^\circ$
• Angle G = $18^\circ$

Now, we can set up the equation:

$(2x + 7) + 18 = 90$

Simplify this:

$2x + 25 = 90$

Subtract 25 from both sides:

$2x = 90 - 25$ $2x = 65$

Now, divide both sides by 2 to solve for $x$:

$x = \frac{65}{2}$ $x = 32.5$

Now that we know $x = 32.5$, we can find the measure of each angle:

• Angle F = $2x + 7 = 2(32.5) + 7 = 65 + 7 = 72^\circ$
• Angle G = $18^\circ$ (already given)

Thus, the value of $x$ is 32.5, and:

• Angle F measures $72^\circ$
• Angle G measures $18^\circ$

Would you like a more detailed breakdown or any clarification on the steps?

Here are 5 related questions to explore further:

1. How do complementary angles differ from supplementary angles?
2. What is the relationship between angles in a triangle?
3. How do you solve for $x$ when angles are supplementary?
4. Can complementary angles be non-adjacent, or must they be next to each other?
5. How do you solve for unknown angles using algebra in geometry?

Tip: Always remember that complementary angles add up to 90°, while supplementary angles add up to 180°.