Question

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

Explanation:

Step1: Use the triangle angle - sum property

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \((2x - 3)+(2x - 7)+6x=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \((2x+2x + 6x)+(-3 - 7)=180\), which gives \(10x-10 = 180\).

Step3: Solve for \(x\)

Add \(10\) to both sides of the equation: \(10x-10 + 10=180 + 10\), so \(10x=190\). Then divide both sides by \(10\): \(x=\frac{190}{10}\).

Answer:

\(19\)