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, \((x + 2)+(x + 13)+(2x-15)=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \((x+x + 2x)+(2 + 13-15)=180\).
\(4x+(15 - 15)=180\), which simplifies to \(4x=180\).

Step3: Solve for \(x\)

Divide both sides of the equation \(4x = 180\) by \(4\). \(x=\frac{180}{4}=45\).

Answer:

\(45\)