Question

The measures of the angles of a triangle are 2x, 3x, and 4x. What is the degree measure of the largest angle of the triangle?o 20°o 60°o 80°o 100°

Answer 1

`80\degree`

Step-by-step explanation

We want to find the measure of the largest angle of the triangle.

The sum of angles in a triangle is 180 degrees. This means that:

`2x+3x+4x=180`

Simplify the equation and solve for x:

`\begin{gathered} 2x+3x+4x=180 \\ 9x=180 \\ x=(180)/(9) \\ x=20 \end{gathered}`

The largest angle is 4x. Therefore, the measure of the largest angle is:

`\begin{gathered} 4\cdot20 \\ 80\degree \end{gathered}`