Question

what is the value of t? write your answer as an integer or as a decimal rounded to the nearest tenth. t =

Explanation:

Step1: Apply exterior - angle theorem

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, $6t=(4t - 45)+4t$.

Step2: Simplify the equation

First, expand the right - hand side: $6t = 4t-45 + 4t$. Combine like terms: $6t=8t - 45$.

Step3: Solve for t

Subtract $8t$ from both sides: $6t-8t=8t - 45-8t$, which gives $-2t=-45$. Then divide both sides by $-2$: $t=\frac{45}{2}=22.5$.

Answer:

$22.5$