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8.) One angle of a right triangle measures \( 71^{\circ} \). What is the measure of the other acute angle? Submit

Ask by Conner Clark. in the United States
Mar 04,2025

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Answer

The other acute angle is 19°.

Solution

A right triangle has one 90° angle. The two acute angles must add up to 90° because the total sum of angles in a triangle is 180°. Given one acute angle is 71°, the other acute angle is 90° – 71° = 19°.

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Beyond the Answer

In a right triangle, one angle is always \( 90^\circ \), and the sum of the angles in any triangle is \( 180^\circ \). To find the missing acute angle, subtract the known angle from \( 90^\circ \): \( 90^\circ - 71^\circ = 19^\circ \). So, the measure of the other acute angle is \( 19^\circ \). Don't forget that the two acute angles in a right triangle add up to \( 90^\circ\). If you ever mix those up, just remember this rule and you'll be golden! Keep practicing those angle relationships and you’ll conquer triangles like a pro!

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