https://file.aiquickdraw.com/mathbot/file/17291833960204z6gsisq.jpg

In this image, we are dealing with a right triangle. One of the angles is given as \( 59^\circ \), and the angle \( a \) is missing. Since the sum of angles in any triangle must be \( 180^\circ \), and one of the angles is a right angle (i.e., \( 90^\circ \)):

\[
a + 59^\circ + 90^\circ = 180^\circ
\]

To find \( a \), solve:

\[
a = 180^\circ - 59^\circ - 90^\circ
\]
\[
a = 31^\circ
\]

Thus, the measure of the missing angle \( a \) is \( 31^\circ \).

Would you like further explanation or details on this? Here are some related questions to deepen your understanding:

1. What is the sum of all interior angles in any type of triangle?
2. How can you confirm the sum of the angles in a right triangle?
3. Can two angles in a triangle be greater than \(90^\circ\)?
4. How would the calculation change if the given triangle was not a right triangle?
5. How can trigonometry be applied to find unknown sides in this triangle?

**Tip:** Remember, the sum of the angles in any triangle will always be \(180^\circ\), and in a right triangle, one angle is always \(90^\circ\).

Learn how to calculate the missing angle in a right triangle where one angle is 59°. This problem demonstrates the angle sum property of triangles and involves basic geometric reasoning. Suitable for students in Grades 6-8.

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