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: Recall exterior - angle property

The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles.

Step2: Set up the equation

For the given triangle, we have the equation $11t - 20=37 + t$.

Step3: Solve the equation for t

Subtract t from both sides: $11t - t-20=37 + t - t$, which simplifies to $10t-20 = 37$.
Add 20 to both sides: $10t-20 + 20=37 + 20$, so $10t=57$.
Divide both sides by 10: $t=\frac{57}{10}=5.7$.

Answer:

$5.7$