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This is a right triangle, as indicated by the right angle at one of the corners.

In any triangle, the sum of the interior angles is always \(180^\circ\). Since one angle is \(90^\circ\) and another angle is \(63^\circ\), we can solve for \(x^\circ\) using the following equation:

\[
x^\circ + 63^\circ + 90^\circ = 180^\circ
\]

Simplifying this:

\[
x^\circ + 153^\circ = 180^\circ
\]

Subtracting \(153^\circ\) from both sides:

\[
x^\circ = 180^\circ - 153^\circ = 27^\circ
\]

Thus, \(x = 27^\circ\).

Would you like more details or have any questions?

Here are five related questions:
1. What is the sum of the interior angles of any triangle?
2. How can we calculate the missing angle in a right triangle?
3. What are the properties of a right triangle?
4. Can a right triangle have an angle larger than 90 degrees?
5. What types of triangles exist based on their angles?

**Tip:** Always check that the sum of all angles in any triangle is \(180^\circ\).

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

This tutorial explains how to find an unknown angle in a right triangle using the Triangle Angle Sum Theorem. With one angle at 90 degrees and another at 63 degrees, learn how to calculate the third angle. Suitable for students in Grades 6-8.

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