Question

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

Explanation:

Step1: Use the triangle angle - sum property

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(66^{\circ}+49^{\circ}+13b = 180^{\circ}\).

Step2: Simplify the left - hand side of the equation

First, add \(66^{\circ}\) and \(49^{\circ}\): \(66 + 49=115\), so the equation becomes \(115+13b = 180\).

Step3: Solve for \(b\)

Subtract \(115\) from both sides of the equation: \(13b=180 - 115\). Then \(180−115 = 65\), so \(13b = 65\). Divide both sides by \(13\): \(b=\frac{65}{13}\).

Answer:

\(b = 5\)