Answered

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A right triangle has one
angle that measures 54°.
What is the measure of the
other acute angle?

Sagot :

GinnyAnsweridn
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°.
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