Question

In the figure below, k || o. Find the values of y and z.

Answer 1

y = 112

z = 27

Explanation:

Alright,

So we know that a straight line adds up to 180. And looking at the figure, it looks like 68 + y = 180 if you do some visualization.

So, we can already calculate y.

y = 180 - 68

y = 112

Now we find z. z here is represented in an expression. We can see that y and the expression z is in are congruent to each other which means they will equal each other. And since we know that y = 112, we know that the expression z is in is also equal to 112.

So we set up an equation like so:

112 = 3z + 31

And start to simplify:

81 = 3z

Finally we divide:

27 = z

Therefore, z is 27