A right triangle has one angle that measures 26°. What is the measure of the other acute angle?

In a right triangle, the sum of the angles always equals 180 degrees. Since one of the angles is always 90 degrees (the right angle), the sum of the other two angles must be 90 degrees.

Given that one of the acute angles measures 26 degrees, we can find the measure of the other acute angle by subtracting 26 degrees from 90 degrees:

\[
90^\circ - 26^\circ = 64^\circ
\]

Therefore, the measure of the other acute angle is 64 degrees.

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**Relative Questions:**

1. What are the measures of the other angles in a right triangle if one angle is 30°?
2. How do you find the hypotenuse of a right triangle if you know one angle and one side length?
3. Can a right triangle have two angles that are both 45°?
4. How do you determine the length of the opposite side in a right triangle if you know an angle and the hypotenuse?
5. What is the relationship between the angles in a right triangle and the sides' lengths?
6. How can you find the area of a right triangle if you know the lengths of the two legs?
7. What are the trigonometric functions of a 26° angle in a right triangle?
8. How do you use the Pythagorean theorem to find the length of a side in a right triangle?

**Tip:**

In a right triangle, the two non-right angles are complementary, meaning their measures add up to 90 degrees. This can simplify finding unknown angles.

Learn how to find the measure of the other acute angle in a right triangle when one angle is 26 degrees. Understand the angle sum property of triangles and its application in geometry. Suitable for Grades 7-9 students.

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