Question

1. find the missing measures. 107° x° y° z°

Explanation:

Step1: Use vertical - angle property

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

Step2: Use linear - pair property

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

Step3: Use vertical - angle property again

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

Answer:

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