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 property of a triangle

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, $11t + 36=(15t - 40)+39$.

Step2: Simplify the right - hand side of the equation

$(15t - 40)+39=15t-40 + 39=15t - 1$. So the equation becomes $11t + 36=15t - 1$.

Step3: Move the terms with $t$ to one side and constants to the other side

Subtract $11t$ from both sides: $36=15t-11t - 1$. Then add 1 to both sides: $36 + 1=4t$. So, $4t=37$.

Step4: Solve for $t$

Divide both sides by 4: $t=\frac{37}{4}=9.25$. Rounding to the nearest tenth, $t = 9.3$.

Answer:

$t = 9.3$