Question

In the figure, k//l, find the values of z and y.

Answer 1

• z=113°

,

• y=67°

Step-by-step explanation:

In the diagram below, by the principles of vertical and corresponding angles:

`(6y-113)\degree=67\degree\text{ (Corresponding angles)}`

We solve for y:

`\begin{gathered} 6y=67+113 \\ 6y=180 \\ y=(180)/(6) \\ y=30 \end{gathered}`

Next, angles z and (6y-113) are on a straight line. Therefore:

`z+(6y-113)\degree=180\degree`

However, recall we stated earlier that (6y-113)°=67°, therefore:

`\begin{gathered} z+67\degree=180\degree \\ z=180\degree-67\degree \\ z=113\degree \end{gathered}`

The values of z and y are 113° and 67° respectively.