Question

find the missing measures.
107°
x = type your answer...
y = type your answer...
z = type your answer...

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. The angle of $107^{\circ}$ and $z$ are vertical angles. So $z = 107^{\circ}$.

Step2: Use linear - pair property

The angle of $107^{\circ}$ and $x$ form a linear pair. Since the sum of angles in a linear pair is $180^{\circ}$, we have $x=180 - 107=73^{\circ}$.

Step3: Use vertical - angle property again

The angle $x$ and $y$ are vertical angles. Since vertical angles are equal, $y = x=73^{\circ}$.

Answer:

$x = 73$
$y = 73$
$z = 107$