Question

find the measure of the angles in the following triangles.x=______missing angle measures:_______ ______

Answer 1

First, we have to use the interior angles theorem

`x-2+72+x=180`

Then, we solve for x

`\begin{gathered} 2x+70=180 \\ 2x=180-70 \\ 2x=110 \\ x=(110)/(2) \\ x=55 \end{gathered}`

Then, we use this value to find each angle

`\begin{gathered} (x-2)=55-2=53 \\ x=53 \end{gathered}`

Hence, the interior angles are 72°, 55°, and 53°