Question

Need help with this, thanks

Answer 1

`x=\boxed{11}`

Explanation:

Vertical Angle Theorem

The opposite vertical angles of two straight intersecting lines are congruent.

Therefore, equate the expressions and solve for x:

`\boxed{\begin{aligned}(9x-4)^(\circ)&=(8x+7)^(\circ)\\9x-4&=8x+7\\9x-4-8x&=8x+7-8x\\x-4&=7\\x-4+4&=7+4\\x&=11\end{aligned}}`

Therefore:

`x=\boxed{11}`

Answer 2

x = 11°

Explanation:

Hello!

These angles are called vertical angles or angles opposite to each other during the intersection of two lines.

Vertical angles are equal to each other, so we can set the expressions equal to each other and solve for x.

Solve for x

• 9x - 4 = 8x + 7 -> Subtract 8x

• x - 4 = 7 -> Add 4
• x = 11

The value of x is 11°.