○=> Correct option :
[tex]\color{plum}\tt\bold{(D) \: 17}[/tex]
○=> Steps to derive correct answer :
Given :
▪︎Angle (5x)° and angle 95° are supplementary angles.
Which means :
[tex] = \tt5x + 95 = 180[/tex]
[tex] = \tt5x = 180 - 95[/tex]
[tex] = \tt5x = 85[/tex]
[tex] \hookrightarrow\tt \color{plum}x = 17[/tex]
Thus, the value of x = 17
Let us check whether or not we have found out the correct value of x by placing 17 in the place of x:
[tex] =\tt5 \times 17 + 95 = 180[/tex]
[tex] =\tt 85 + 95 = 180[/tex]
[tex] =\tt 180 = 180[/tex]
Since the sum of both angles is equivalent to 180[85+95=180], we can conclude that we have found out the correct value of x.
Therefore, the correct option is (D) 17
