Question

question solve for the value of t. answer attempt 2 out of 2 t =

Explanation:

Step1: Set up the equation

Since the two angles are vertical angles and vertical - angles are equal, we set up the equation $2t - 4=5t + 2$.

Step2: Move the terms with $t$ to one side

Subtract $2t$ from both sides: $2t-2t - 4=5t-2t + 2$, which simplifies to $-4 = 3t+2$.

Step3: Move the constant to the other side

Subtract 2 from both sides: $-4 - 2=3t+2 - 2$, resulting in $-6 = 3t$.

Step4: Solve for $t$

Divide both sides by 3: $\frac{-6}{3}=t$, so $t=-2$.

Answer:

$t = - 2$