Answer
Explanation
Given the figure, we can deduce the following information:
a and b cut by transversal lines
To determine the value of x, we redraw the figure as shown below:
Since a and b are parallel lines, y must be equal to 36°. We also note that the angles on a straight add up to 180°. So,
[tex]\begin{gathered} 36+65+x=180 \\ \text{Simplify and rearrange} \\ x=180-65-36 \end{gathered}[/tex]
Therefore, the equation that can be used to solve for x is:
[tex]x=180-65-36[/tex]
Now, we get the value of x:
[tex]\begin{gathered} x=180-65-36 \\ \text{Calculate} \\ x=79\degree \end{gathered}[/tex]
Therefore, the value of x is 79°.
