The triangle provided has one right angle, meaning it is a right triangle. For any triangle, the sum of the angles must be 180°. Let's break this down:

• One of the angles is 90° (as indicated by the right angle).
• Another angle is given as 27°.
• The third angle is $x^\circ$, which we need to solve for.

Using the triangle angle sum property: $x + 27^\circ + 90^\circ = 180^\circ$ Simplifying: $x + 117^\circ = 180^\circ$ Subtracting 117° from both sides: $x = 180^\circ - 117^\circ = 63^\circ$

Thus, the value of $x$ is $63^\circ$.

Would you like further details or have any other questions?

Here are 5 related questions:

1. What is the triangle angle sum theorem?
2. How do you calculate the missing angle in a right triangle?
3. What is the importance of knowing a triangle's angles in geometry?
4. Can you solve for a triangle's sides using its angles?
5. How does the Pythagorean theorem relate to right triangles?

Tip: Always check if a triangle has a right angle because it simplifies solving for missing angles.