Question

Fill in all angles that you can to find x

Answer 1

Mark the angles first.

Consider the diagram below,

Given that angle A and K measure 124 degree, and 96 degree.

Since line 'c' and 'd' are parallel, then being the corresponding angles,

`\begin{gathered} \angle A=\angle S \\ \angle S=124 \end{gathered}`

Angles S and T together constitute a straight line, so they must be supplementary,

`\begin{gathered} \angle S+\angle T=180 \\ 124+\angle T=180 \\ \angle T=180-124 \\ \angle T=56 \end{gathered}`

Now, since lines 'f' and 'g' are parallel, so the angles W and T must also be equal, being the corresponding angles,

`\begin{gathered} \angle W=\angle T \\ \angle W=56 \end{gathered}`

Thus, the measure of angle W, i.e. 'x' is 56 degrees.