Question

keep t n mind!!
x = 2z
x = 56
⑤
x =
y = 12°
z =
124°
x°
y°
x°
72°
z°

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. Since the angle of $72^{\circ}$ and $y$ are vertical angles, $y = 72^{\circ}$.

Step2: Use linear - pair property

A linear - pair of angles sums to $180^{\circ}$. The angle $x$ and the angle adjacent to the $72^{\circ}$ angle (in a linear - pair) are related as $x+72^{\circ}=180^{\circ}$, so $x = 180^{\circ}-72^{\circ}=108^{\circ}$.

Step3: Use vertical - angle property again

The angle $z$ and the angle adjacent to the $72^{\circ}$ angle are vertical angles. So $z = 72^{\circ}$.

Answer:

$x = 108^{\circ}$, $y = 72^{\circ}$, $z = 72^{\circ}$