Find the value of x

Question

asked Mar 10, 2021 164k views

1 Answer

Dargaud · Answer 1 · 2021-03-16T15:24:50+0000

Answer:

x = 12

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:

$\longrightarrow$
$\sf (-2x)/(-2) = (-24)/(-2)$

$\sf (-2)/(-2) = 1$

$\longrightarrow$
$\sf x = (-24)/(-2)$

$\sf (-24)/(-2) = 12$

$\longrightarrow$ x = 12