Question

In the figure below, angle y and angle x form vertical angles. Angle x forms a straight line with the 50° angle and the 40° angle.


Write and solve an equation to determine the measure of angle y.

Answer 1

Answer:

The answer is "$\angle y = 90^{\circ}$"

Step-by-step explanation:

Please find the image file of the angle in the attachment.

Each line is 180° straight because the $\angle x$-axis of the 40° and 50° angles is a straight line:  

$= \angle x + 40^{\circ} + 50^{\circ} = 180^{\circ}$

Use this formula and isolate x.

$\angle x + 40^{\circ} + 50^{\circ} = 180^{\circ}\\\\ \angle x + 90^{\circ} = 180^{\circ} \\\\ \angle x = 180^{\circ} - 90^{\circ} \\\\ \angle x = 90^{\circ}$

Since the two are vertical angles, they have the same measurement. These have the same measurement.  If $\angle x = 90^{\circ}$ and $m \angle x = m \angle y$, then  $\angle y = 90^{\circ}$