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)) One angle of a right triangle measures \( 65^{\circ} \). What is the measure of the other acute angle?

Ask by Owen Burgess. in the United States
Feb 27,2025

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Answer

The other acute angle is 25°.

Solution

In a right triangle, one angle is 90° and the sum of all the angles is 180°. Given that one acute angle is 65°, the other acute angle can be determined as follows: Other acute angle = 180° - 90° - 65° Other acute angle = 25° So, the measure of the other acute angle is 25°.

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In a right triangle, the sum of the two acute angles always equals \( 90^{\circ} \) because one angle is already \( 90^{\circ} \). So, if one acute angle measures \( 65^{\circ} \), you can find the other angle by subtracting from \( 90^{\circ} \): \( 90^{\circ} - 65^{\circ} = 25^{\circ} \). Therefore, the measure of the other acute angle is \( 25^{\circ} \). Fun fact: Right triangles have been used in various fields, from architecture to art, as they provide structural stability and help in creating visually pleasing designs. The Pythagorean theorem, which relates the lengths of the sides of a right triangle, has its applications in everything from construction to navigation!

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