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

Explanation:

Step1: Recall angle - sum property

The sum of interior angles of a triangle is 180°. So, (2b + 2b+72^{\circ}=180^{\circ}).

Step2: Combine like - terms

(4b + 72^{\circ}=180^{\circ}).

Step3: Isolate the variable term

Subtract 72° from both sides: (4b=180^{\circ}- 72^{\circ}), so (4b = 108^{\circ}).

Step4: Solve for b

Divide both sides by 4: (b=\frac{108^{\circ}}{4}=27^{\circ}).

Answer:

(27)