Question

the diagram shows a triangle.
6x-23°
3x-7°
6x
what is the value of x?
x = □°

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \((6x - 23) + 6x + (3x - 7) = 180\).

Step2: Combine like terms

Combine the \(x\)-terms and constant terms: \(6x + 6x + 3x - 23 - 7 = 180\) → \(15x - 30 = 180\).

Step3: Solve for \(x\)

Add 30 to both sides: \(15x = 180 + 30\) → \(15x = 210\). Divide by 15: \(x = \frac{210}{15} = 14\).

Answer:

\(14\)