Question

The measures of the angles of a triangle are shown in the figure below solve for x

108°
X°
47°

Answer 1

108+47=155

180-155=125

x=180

angles in a triangle add up to 180

Answer 2

The measure of the third angle is 25 degrees.

The sum of the measures of the angles of a triangle is 180 degrees. Therefore, x + 47 + 108 = 180. Solving for x, we get x = 25 degrees.

Here is a more creative response:

Imagine a triangle with three angles. One angle measures 108 degrees, and another angle measures 47 degrees. What is the measure of the third angle?

To solve this problem, we can use the following equation:

Angle 1 + Angle 2 + Angle 3 = 180 degrees

We know that Angle 1 = 108 degrees and Angle 2 = 47 degrees. Substituting these values into the equation, we get:

108 degrees + 47 degrees + Angle 3 = 180 degrees

Combining like terms, we get:

155 degrees + Angle 3 = 180 degrees

Subtracting 155 degrees from both sides of the equation, we get:

Angle 3 = 180 degrees - 155 degrees