Question

the diagram shows a triangle.
what is the value of x?
x = \boxed{\circ}
submit
work it out

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(65^\circ + 3x + 2x = 180^\circ\).

Step2: Combine like terms

Simplify the left - hand side: \(65 + 5x = 180\).

Step3: Solve for x

Subtract 65 from both sides: \(5x = 180 - 65 = 115\). Then divide by 5: \(x=\frac{115}{5}=23\).

Answer:

\(23\)