Question

solve for the value of t.
(2t - 4)°
(5t + 2)°
answer attempt 1 out of 2
t =

Explanation:

Step1: Identify angle - relationship

The two angles $(2t - 4)^{\circ}$ and $(5t+2)^{\circ}$ are vertical angles, and vertical angles are equal. So we set up the equation $2t-4 = 5t + 2$.

Step2: Rearrange the equation

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

Step3: Solve for $t$

Subtract 2 from both sides: $-4 - 2=3t$, so $-6 = 3t$. Then divide both sides by 3: $t=\frac{-6}{3}=- 2$.

Answer:

$t=-2$