a right triangle has one angle that measures 10°. what is the measure of the other acute angle?

a right triangle has one angle that measures 10°. what is the measure of the other acute angle?

a right triangle has one angle that measures 10°. 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 10°. So, (90 + 10+x=180).

Step3: Solve the equation for (x)

First, simplify the left - hand side: (100 + x=180). Then subtract 100 from both sides: (x=180 - 100).

Answer:

80