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, \(2x + 3x+70 = 180\).

Step2: Combine like terms

Combine the \(x\) - terms: \(5x+70 = 180\).

Step3: Isolate the term with \(x\)

Subtract \(70\) from both sides: \(5x=180 - 70\), so \(5x = 110\).

Step4: Solve for \(x\)

Divide both sides by \(5\): \(x=\frac{110}{5}\).

Answer:

\(x = 22\)