Question

Find each angle measure in the figure. x 30 The angle measures are and Use the equation to justify your answer. X - (x - 30) + 2x =

Answer 1

The angles given are as follows;

x, 2x and x + 30

`\begin{gathered} x+(x+30)+2x=180\text{ (sum of angles in a triangle equals 180)} \\ x+x+30+2x=180 \\ 4x+30=180 \\ \text{Subtract 30 from both sides} \\ 4x=150 \\ \text{Divide both sides by 4} \\ x=37.5 \\ \text{Therefore, each angle measure is;} \\ x=37.5 \\ 2x=75 \\ x+30=67.5 \end{gathered}`