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

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

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

Answer

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