Question

one angle of a right triangle measures 18°. what is the measure of the other acute angle?

Explanation:

Step1: Recall triangle angle sum

A triangle's angles sum to \(180^\circ\). A right triangle has one \(90^\circ\) angle.

Step2: Calculate the other acute angle

Let the unknown acute angle be \(x\). So, \(90^\circ + 18^\circ + x = 180^\circ\). Solve for \(x\): \(x = 180^\circ - 90^\circ - 18^\circ = 72^\circ\).

Answer:

\(72^\circ\)