The image shows a problem involving complementary angles. Complementary angles are two angles that add up to 90 degrees.

The problem states that one angle measures 46 degrees, and you're asked to find the measure of the other angle.

To solve this:

• Let the unknown angle be $b^\circ$.
• Since the angles are complementary, the sum of these two angles is 90 degrees. This gives us the equation:

$46 + b = 90$

Now, solve for $b$ by subtracting 46 from both sides:

$b = 90 - 46 = 44^\circ$

So, the measure of the other angle is 44 degrees.

Would you like any further details on this solution?

Here are some related questions to deepen your understanding:

1. What are supplementary angles, and how are they different from complementary angles?
2. If one angle in a complementary pair is 30 degrees, what is the measure of the other angle?
3. Can two obtuse angles be complementary? Why or why not?
4. How would you solve for one angle if the sum of two angles is 180 degrees?
5. What happens if two angles are both 45 degrees? What kind of angles are they?

Tip: Remember, complementary angles always add up to 90 degrees, while supplementary angles add up to 180 degrees.