Given: Three intersecting lines
To Determine: how w would be found
Solution
Label the diagram
From the above, angles 1, w, and w lies on the same straight line
Also 76⁰ and angle 1 are vertically opposite angles. the sum of angles on a straight line is 180⁰
Therefore
[tex]\begin{gathered} w+w+76^0=180^0 \\ 2w+76^0=180^0 \end{gathered}[/tex]
In summary, to find w, we would find the angle that is vertically opposite to 76⁰. Then use sum angles on a straight line to get the value of w since 2w and 76⁰ lies on the same straight line
