This problem involves finding the unknown angle in a right triangle. Here’s how we solve it:

Step 1: Understand the triangle properties

• In a triangle, the sum of the interior angles is always $180^\circ$.
• This triangle is a right triangle, so one of the angles is $90^\circ$.

Step 2: Write the equation for the angles

Let the unknown angle be $x$. The given angles are $37^\circ$ and $90^\circ$.

The sum of the angles in the triangle is: $x + 37^\circ + 90^\circ = 180^\circ$

Step 3: Solve for $x$

Simplify the equation: $x + 127^\circ = 180^\circ$

Subtract $127^\circ$ from both sides: $x = 180^\circ - 127^\circ$

$x = 53^\circ$

Final Answer:

The unknown angle is $53^\circ$.

Let me know if you need further clarification or want additional explanations.

Here are five related questions to expand your understanding:

1. What is the rule for calculating the sum of angles in any polygon?
2. How can you identify the type of triangle based on its angles?
3. What are complementary angles in a triangle?
4. How would you calculate an angle if only two sides of the triangle were given?
5. What is the relationship between angles and sides in a right triangle (trigonometry)?

Tip: Always verify if one angle is a right angle in a triangle—it simplifies calculations significantly.