Question

1. find the missing measures.

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. The angle of $104^{\circ}$ and $z^{\circ}$ are vertical angles, so $z = 104$.

Step2: Use adjacent - angle property

Adjacent angles on a straight - line sum to $180^{\circ}$. The angle of $104^{\circ}$ and $x^{\circ}$ are adjacent angles on a straight - line. So $x=180 - 104=76$.

Step3: Use vertical - angle property again

The angle of $x^{\circ}$ and $y^{\circ}$ are vertical angles. Since $x = 76$, then $y = 76$.

Answer:

$x = 76$, $y = 76$, $z = 104$