Question

a right triangle has one angle that measures 50°. what is the measure of the other acute angle?

Explanation:

Step1: Recall triangle angle - sum property

The sum of the interior angles of a triangle is 180°. In a right - triangle, one angle is 90°.

Step2: Set up an equation

Let the unknown acute angle be \(x\). We know one angle is 90° and another is 50°. So, \(90 + 50+x=180\).

Step3: Solve for \(x\)

First, simplify the left - hand side: \(140 + x=180\). Then subtract 140 from both sides: \(x = 180-140\).
\(x = 40\)

Answer:

40