Question

what is the value of b? write your answer as an integer or as a decimal rounded to the nearest tenth. b =

Explanation:

Step1: Use the triangle angle sum theorem

The sum of angles in a triangle is \(180^{\circ}\). So, \(3b+(3b - 8)+(b + 7)=180\).

Step2: Simplify the equation

Combine like - terms: \(3b+3b - 8+b + 7 = 180\), which simplifies to \(7b-1 = 180\).

Step3: Solve for \(b\)

Add \(1\) to both sides: \(7b=180 + 1=181\). Then divide both sides by \(7\): \(b=\frac{181}{7}\approx22.2\).

Answer:

\(b = 22.2\)