To determine the measure of the other acute angle in a right triangle, let's follow these steps:
1. Understand the properties of a right triangle: A right triangle has one angle that always measures 90°, known as the right angle. The sum of all angles in any triangle is 180°.
2. Determine the sum of the remaining angles: In a right triangle, since one of the angles is 90°, the sum of the other two angles must be:
[tex]\[
180° - 90° = 90°
\][/tex]
3. Identify the given angle: We are given that one of the acute angles in the triangle is 54°.
4. Calculate the other acute angle: To find the measure of the remaining acute angle, subtract the given angle from the sum of the two acute angles:
[tex]\[
90° - 54° = 36°
\][/tex]
Therefore, the measure of the other acute angle in the triangle is 36°.
