Question

a right triangle has one angle that measures 37°. 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: Subtract known angles

Let the unknown acute angle be \(x\). So, \(90^\circ + 37^\circ + x = 180^\circ\). Solve for \(x\): \(x = 180^\circ - 90^\circ - 37^\circ\).

Step3: Calculate the result

\(180 - 90 - 37 = 53\), so \(x = 53^\circ\).

Answer:

\(53\)