Question

a right triangle has one angle that measures 60°. what is the measure of the other acute angle?

Explanation:

Step1: Recall the sum of angles in a triangle

The sum of the interior angles of a triangle is \(180^{\circ}\).

Step2: Identify the angles in a right - triangle

In a right - triangle, one angle is \(90^{\circ}\). Let the other acute angle be \(x\). We know one of the acute angles is \(60^{\circ}\).
Using the angle - sum formula for a triangle: \(90^{\circ}+60^{\circ}+x = 180^{\circ}\)

Step3: Solve for \(x\)

$$
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Answer:

\(30\)