Question

1. what kind of angles are these? vertical these angles are equal. please complete the equation that can be used to solve for x: 4x + 3 = 8x - 9 x = 3 m∠abc =

Explanation:

Step1: Set up the equation

Since vertical angles are equal, we have $4x + 3=8x - 9$.

Step2: Solve for $x$

First, move the $x$ - terms to one side:
$4x-8x=-9 - 3$.
Combining like - terms gives $-4x=-12$.
Then divide both sides by $-4$: $x = \frac{-12}{-4}=3$.

Step3: Find the measure of $\angle ABC$

Substitute $x = 3$ into the expression for one of the vertical angles. Let's use $4x + 3$.
$m\angle ABC=4x + 3=4\times3+3=12 + 3=15$.

Answer:

$15$