Question

The measures of the angles of a triangle are shown in the figure below. Solve for x.64°(2x+14)76

Answer 1

To solve this you need to know that the sum of all the angles of a triangle equals 180° independently of the triangle. So we can construct an equation for x using this information:

$\begin{gathered} 180=64+76+(2x+14)=140+2x+14 \\ 180=2x+154 \end{gathered}$

Then:

$\begin{gathered} 2x=180-154 \\ 2x=26 \\ x=\frac{26}{2}=13 \end{gathered}$

So x=13.