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luda_lava [24]
3 years ago
11

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° angl

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

Mathematics
1 answer:
RoseWind [281]3 years ago
5 0

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}

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