Question

a right triangle has one angle that measures 45°. what is the measure of the other acute angle?

Explanation:

Step1: Recall the sum of angles in a triangle

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

Step2: Identify the angles in a right - triangle

A right - triangle has one angle equal to \(90^{\circ}\). Let the unknown acute angle be \(x\). We know one acute angle is \(45^{\circ}\).
Using the angle - sum formula for a triangle: \(90^{\circ}+45^{\circ}+x = 180^{\circ}\).

Step3: Solve for \(x\)

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Answer:

\(45\)