Question

Find the value of x ​

Answer 1

Answer:

x = 12

Step-by-step explanation:

In a pair of intersecting lines the vertically opposite angles are equal.

$\longrightarrow$ (6x + 7)° = (8x - 17)°

$\longrightarrow$ 6x + 7 = 8x - 17

Subtract 8x + 7 from both sides:

$\longrightarrow$ 6x + 7 - (8x + 7) = 8x - 17 - (8x + 7)

$\longrightarrow$ (6x - 8x) + (7 - 7) = (8x - 8x) + (-17 - 7)

6x - 8x = -2x:

$\longrightarrow$ -2x + (7 - 7) = (8x - 8x) + (-17 - 7)

7 - 7 = 0:

$\longrightarrow$ -2x = (8x - 8x) + (-17 - 7)

8x - 8x = 0:

$\longrightarrow$ -2x = -17 - 7

-17 - 7 = -24:

$\longrightarrow$ -2x = -24

Divide both sides by -2:

$\longrightarrow$ $\sf \dfrac{-2x}{-2} = \dfrac{-24}{-2}$

$\sf \dfrac{-2}{-2} = 1$

$\longrightarrow$ $\sf x = \dfrac{-24}{-2}$

$\sf \dfrac{-24}{-2} = 12$

$\longrightarrow$ x = 12