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This image shows a right triangle with a given angle of 64° and another angle labeled \( x^\circ \). Since the sum of the interior angles of any triangle is always 180°, we can use that fact to determine the value of \( x \).

In a right triangle, one of the angles is always 90°, so:

\[
x + 64^\circ + 90^\circ = 180^\circ
\]

Simplifying:

\[
x + 154^\circ = 180^\circ
\]

Solving for \( x \):

\[
x = 180^\circ - 154^\circ = 26^\circ
\]

So, the value of \( x \) is \( 26^\circ \).

Let me know if you would like any further details or explanations! Here are some related questions to think about:

1. How would the calculation change if one of the other angles was unknown instead of \( x \)?
2. Can you explain why the sum of the angles in a triangle always equals 180°?
3. What would be the sum of the angles if this were not a right triangle?
4. How does the Pythagorean theorem apply to right triangles like this one?
5. How can you classify this triangle based on its angles?

**Tip:** Always remember that in any triangle, the sum of all interior angles is 180°, which is especially useful when solving for unknown angles.

Find the value of the missing angle in a right triangle where one angle is 64°.

Learn how to find the missing angle in a right triangle where one angle is 64°. This problem demonstrates the angle sum property of triangles, a core geometry concept for students in Grades 6-8.

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