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

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, 34°+2b+(b - 4°)=180°.

Step2: Simplify the left - hand side of the equation

Combine like terms: (34°- 4°)+(2b + b)=180°, which gives 30°+3b = 180°.

Step3: Isolate the variable b

Subtract 30° from both sides: 3b=180° - 30° = 150°. Then divide both sides by 3: b = $\frac{150^{\circ}}{3}$ = 50°.

Answer:

50