Question

In each of the following figures $AB\parallel CD$and $AC\parallel BD$. Find the values of $x,y$ and $z$.

Answer 1

Considering $AB\parallel CD$ and $AD$ is transversal.

$x=37°$ ( Alternate interior angles are equal )

$y=43°$ ( Alternate interior angles are equal )

Again, Considering $AB\parallel CD$ and $AD$ is transversal.

Then, $(x+y)+z=180°$ ( Co-interior angle on the same side of transversal)

$$\begin{gathered} (37°+43°)+z=180° \\ 80°+z=180° \\ z=180°-80°=100° \end{gathered}$$

Hence, $x=37°$, $y=43°$ and $z=100°$.