Question

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

Explanation:

Step1: Use triangle angle - sum theorem

The sum of interior angles of a triangle is \(180^{\circ}\). So, \(30 + 2x+4x = 180\).

Step2: Simplify the equation

Combine like terms: \(30+6x = 180\).

Step3: Solve for \(x\)

Subtract \(30\) from both sides: \(6x=180 - 30=150\). Then divide both sides by \(6\): \(x=\frac{150}{6}=25\).

Answer:

\(25\)