Question

the diagram shows a triangle. what is the value of t?

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, we can write the equation $32+(t + 19)+2t=180$.

Step2: Combine like - terms

Combine the constant terms and the $t$ terms on the left - hand side: $(32 + 19)+(t+2t)=180$, which simplifies to $51 + 3t=180$.

Step3: Isolate the variable term

Subtract 51 from both sides of the equation: $3t=180 - 51$. So, $3t=129$.

Step4: Solve for $t$

Divide both sides of the equation by 3: $t=\frac{129}{3}$. Thus, $t = 43$.

Answer:

43