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

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, $7t + 32=(t + 19)+7t$.

Step2: Simplify the equation

$7t+32=t + 19+7t$. Combine like terms: $7t+32 = 8t+19$.

Step3: Solve for t

Subtract $7t$ from both sides: $32=t + 19$. Then subtract 19 from both sides: $t=32 - 19$.

Answer:

$t = 13$