Question

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Answer 1

Given :

▪︎line ʟ || ᴍ .

▪︎Measure of an angle = (12x - 8)°

▪︎Measure of another angle = 104°

Since angle (12x-8)° and angle 104° are interior angles on the same side of transversal, their measures will be supplementary(=180°).

Which means :

$= \tt12x - 8 + 104 = 180$

$= \tt12x - 8 = 180 - 104$

$=\tt 12x = 76 + 8$

$= \tt12x = 84$

$=\tt x = \frac{84}{12}$

$\hookrightarrow\tt\color{plum} \:\bold{ x = 7 }$

Thus, the value of x = 7.

Let us check whether or not we have found out the correct value of x, by placing 7 in the place of x :

$= \tt12 \times 7 - 8 + 104 = 180$

$=\tt 84 - 8 + 104 = 180$

$= \tt76 + 104 = 180$

$=\tt 180 = 180$

Since the Left Hand Side of the equation is equivalent to the Right Hand Side of the equation we can conclude that we have found out the correct value of x.

○=> Therefore :

▪︎Angle (12x - 8)° and angle 104° are interior angles on the same side of transversal.

▪︎Value of x = 7