Question

Solve for b, then solve for each angle in the triangle

Answer 1

We know that the sum of the interior angles of a triangle equals 180, then,in this case we have the following equation:

$b+2b+(b+16)=180$

then, solving for b, we get:

$\begin{gathered} b+2b+(b+16)=180 \\ \Rightarrow4b+16=180 \\ \Rightarrow4b=180-16=164 \\ \Rightarrow b=\frac{164}{4}=41 \\ b=41 \end{gathered}$

now that we have that b = 41, we can find the measure of each angle:

$\begin{gathered} b=41 \\ 2b=2(41)=82 \\ b+16=41+16=57 \end{gathered}$