Question

the diagram shows a triangle. 30° 6b 4b what is the value of b? b = ° submit

Explanation:

Step1: Use the triangle angle sum theorem

The sum of angles in a triangle is \(180^{\circ}\). So, \(30^{\circ}+6b + 4b=180^{\circ}\).

Step2: Combine like terms

Combine \(6b\) and \(4b\). We get \(30^{\circ}+10b = 180^{\circ}\).

Step3: Solve for \(b\)

Subtract \(30^{\circ}\) from both sides: \(10b=180^{\circ}- 30^{\circ}=150^{\circ}\). Then divide both sides by \(10\), \(b=\frac{150^{\circ}}{10}=15^{\circ}\).

Answer:

\(15\)