Question

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

Explanation:

Step1: Use the triangle - angle - sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(64^{\circ}+86^{\circ}+2x = 180^{\circ}\).

Step2: Simplify the left - hand side of the equation

First, add \(64\) and \(86\): \(64 + 86=150\). The equation becomes \(150+2x = 180\).

Step3: Solve for \(x\)

Subtract \(150\) from both sides of the equation: \(2x=180 - 150\). Then \(2x = 30\). Divide both sides by \(2\): \(x=\frac{30}{2}\).

Answer:

\(15\)