Question

acute
obtuse
right angles
congruent angle
vertical angles
supplementary angles
solve for x, y, and z.
$76^\circ = y$
$y=76^\circ$
via vertical angles
$x = $
$76^\circ$

Explanation:

Step1: Find y (vertical angles)

Vertical angles are congruent, so $y = 76^\circ$

Step2: Find x (supplementary to 76°)

Angles on a straight line sum to $180^\circ$.
$x + 76^\circ = 180^\circ$
$x = 180^\circ - 76^\circ = 104^\circ$

Step3: Find z (vertical to x)

Vertical angles are congruent, so $z = x = 104^\circ$

Answer:

$x = 104^\circ$, $y = 76^\circ$, $z = 104^\circ$