Question

a right triangle has one angle that measures 55°. 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 \(180^{\circ}\). In a right - triangle, one angle is \(90^{\circ}\).

Step2: Calculate the measure of the other acute angle

Let the measure of the other acute angle be \(x\). We know that \(90^{\circ}+55^{\circ}+x = 180^{\circ}\). Then \(x=180^{\circ}-(90^{\circ} + 55^{\circ})\).

$$x=180^{\circ}-145^{\circ}=35^{\circ}$$

Answer:

\(35\)