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, \((b + 7)+37 + 104=180\).

Step2: Simplify the left - hand side of the equation

First, add the constant terms: \(b+7 + 37+104=b+(7 + 37+104)=b + 148\).
So the equation becomes \(b + 148=180\).

Step3: Solve for \(b\)

Subtract \(148\) from both sides of the equation: \(b=180-148\).

Answer:

\(b = 32\)