○=> Correct option :
[tex]\color{plum}\tt\bold{(C) \: 50}[/tex]
○=> Steps to derive correct option :
Given :
Measure of angle 2 = 130°
Since angle 2 and angle 7 are corresponding angles their values will be equal.
Thus, measure of angle 7 = 130°
Angle 6 and angle 7 are a linear pair so, their measure will be equal to 180°.
Which means :
[tex] =\tt 130 + ∠6 = 180[/tex]
[tex] = \tt∠6 = 180 - 130[/tex]
[tex]\hookrightarrow \tt\color{plum}∠6 = 50[/tex]
Thus, the measure of angle 6 = 50°
Therefore, the correct option is (C) 50
