Answer :

Sidhartha

[tex]\huge\frak{Answer:-}[/tex]

[tex](8x - 8) + {100}^{\degree} = {180}^{\degree} [/tex]

[tex]\implies8x - 8 = 180 - 100[/tex]

[tex]\implies8x - 8 = 80[/tex]

[tex]\implies8x = 80 + 8[/tex]

[tex]\implies8x = 88[/tex]

[tex]\implies x = \frac{88}{8} [/tex]

[tex]\implies x = 11 \: (a)[/tex]

Why did we used the equation "(8x - 8) + 100° = 180°" to find x?

Because, sum of interior angle in the same side of two parallel lines are always equal to 180°.

Don't forget to give the "°" symbol ;)

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