Question

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

Answer 1

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