Question

find the measure of the missing angles. answer (x = square^{circ}) (y=square^{circ})

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. The angle vertical to the given $35^{\circ}$ angle has the same measure. So, $x = 35^{\circ}$.

Step2: Use complementary - angle property

The angle $y$ and the $35^{\circ}$ angle are complementary (since they form a right - angle together). Complementary angles add up to $90^{\circ}$. So, $y=90^{\circ}-35^{\circ}$.
$y = 55^{\circ}$

Answer:

$x = 35$
$y = 55$