Question

the diagram shows a triangle. what is the value of b? b = °

Explanation:

Step1: Use the triangle angle - sum property

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \((b + 2)+(b + 2)+2b=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \((b + b+2b)+(2 + 2)=180\), which gives \(4b+4 = 180\).

Step3: Solve for \(b\)

Subtract \(4\) from both sides: \(4b=180 - 4=176\). Then divide both sides by \(4\): \(b=\frac{176}{4}=44\).

Answer:

\(44\)