https://file.aiquickdraw.com/mathbot/file/1726693103684zkx6ko5t.jpg

The image shows a triangle with one right angle and two other angles labeled as \( x^\circ \) and \( 63^\circ \). To solve for \( x \), we can apply the property of triangles that the sum of the angles in any triangle is always \( 180^\circ \).

The three angles are:
- \( 90^\circ \) (the right angle),
- \( 63^\circ \),
- \( x^\circ \) (unknown angle).

Now, we set up the equation:

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

Simplifying this:

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

Now, solve for \( x \):

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

Thus, the value of \( x \) is \( 27^\circ \).

Would you like more details or have any questions? Here are some related questions:

1. How would you solve a triangle if two sides and an angle are given?
2. What are the properties of a right triangle?
3. How does the Pythagorean theorem apply to right triangles?
4. Can you find the side lengths of a triangle if all angles are known?
5. What is the sum of interior angles for polygons other than triangles?

**Tip:** Always check if a triangle has a right angle, as it simplifies calculations.

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

This problem asks you to solve for the unknown angle x in a right triangle where two angles are given: one is 63° and the other is a right angle (90°). The sum of all angles in the triangle must equal 180°. Follow a step-by-step solution to find that x equals 27°.

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