Let the unknown angle be $x$ degrees.

Step 1: Define the relationships

• The supplement of $x$ is $180^\circ - x$.
• The complement of $x$ is $90^\circ - x$.

According to the problem, the supplement is 10° more than twice its complement:

$180^\circ - x = 2(90^\circ - x) + 10^\circ$

Step 2: Solve the equation

Expand and simplify the equation:

$180^\circ - x = 180^\circ - 2x + 10^\circ$

Next, simplify further:

$180^\circ - x = 190^\circ - 2x$

Step 3: Isolate $x$

Add $2x$ to both sides:

$180^\circ + x = 190^\circ$

Subtract $180^\circ$ from both sides:

$x = 10^\circ$

Final Answer:

The angle $x$ is $10^\circ$.

Would you like more details, or do you have any other questions?

Here are 5 related questions:

1. What is the supplement of an angle?
2. How do you find the complement of an angle?
3. What would the angle be if the supplement was 20° more than twice its complement?
4. How does the concept of an angle's supplement and complement apply in geometry?
5. What happens if the angle is 45°? What are its supplement and complement?

Tip: Always double-check your equations when dealing with supplements and complements, as small mistakes can lead to incorrect results.