Question

Solve for X please quickly

Answer 1

`\sf x = 6`

Explanation:

The exterior angle theorem of a triangle states that the measure of an exterior angle of a triangle is equal to the sum of the remote two interior angles.

Using this:

We can say that:

`\sf (8x -4)^\circ + (3x + 17)^\circ = (17x -23)^\circ`

`\sf 8x - 4 + 3x + 17 = 17x - 23`

Combine like terms:

`\sf 11x + 13 = 17x - 23`

Subtract
`\sf 11x` from both sides:

`\sf 11x + 13 - 11x = 17x - 23-11x`

`\sf 13 = 6x - 23`

Add 23 to both sides:

`\sf 13 +23 = 6x - 23+23`

`\sf 36 = 6x`

Divide by 6:

`\sf (36 )/(6)= (6x)/(6)`

`\sf x = 6`

So, the solution to the equation is
`\sf x = 6`.

Answer 2

Answer: x = 6

Explanation:

We can use the triangle exterior angle theorem. This states that an exterior angle is equal to the sum of the two opposite interior angles.

Given:

8x - 4 + 3x + 17 = 17x - 23

Combine like terms:

11x + 13 = 17x - 23

Subtract 13 from both sides of the equation:

11x = 17x - 36

Subtract 17x from both sides of the equation:

-6x = -36

Divide both sides of the equation by -6:

x = 6