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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.

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Learn how to solve for the missing angle x in a right triangle. This problem involves the triangle angle sum theorem, where the sum of the angles in any triangle is always 180°. Suitable for students in Grades 6-8.

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