Question

the diagram shows a triangle. what is the value of b? b = submit work it out not feeling ready yet? these can help:

Explanation:

Step1: Use the triangle angle - sum property

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

Step2: Simplify the equation

First, add the known angles: \(60^{\circ}+6b=180^{\circ}\).
Then, subtract \(60^{\circ}\) from both sides: \(6b = 180^{\circ}-60^{\circ}\), which gives \(6b = 120^{\circ}\).

Step3: Solve for \(b\)

Divide both sides by \(6\): \(b=\frac{120^{\circ}}{6}\).

Answer:

\(20\)