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44 votes
In the image shown, Line n is a transversal cutting parallel lines and m.< 3 = x + 50< 7 - 2x + 20What is the measure of < 3?A)70°B)75°C)80°D)85

In the image shown, Line n is a transversal cutting parallel lines and m.< 3 = x-example-1
User Addzy K
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1 Answer

11 votes
11 votes

The angle 3 and angle 7 are corresponding angle. So,


\angle3=\angle7

Subtitute the measure of angles and obtain the value of x.


\begin{gathered} x+50=2x+20 \\ 2x-x=50-20 \\ x=30 \end{gathered}

Determine the measure of angle 3.


\begin{gathered} \angle3=20+50 \\ =70 \end{gathered}

So measure of angle

User Theresia
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