Question

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

Explanation:

Step1: Use the triangle angle - sum property

The sum of angles in a triangle is \(180^{\circ}\). So, \(90^{\circ}+57^{\circ}+3b = 180^{\circ}\).

Step2: Simplify the left - hand side

\(147^{\circ}+3b=180^{\circ}\).

Step3: Solve for \(3b\)

Subtract \(147^{\circ}\) from both sides: \(3b=180^{\circ}-147^{\circ}\), so \(3b = 33^{\circ}\).

Step4: Solve for \(b\)

Divide both sides by \(3\): \(b=\frac{33^{\circ}}{3}\).

Answer:

\(11\)