Question

what is the value of x? type your answer in the box below. (6x)° (9x - 3)° 48° type numerical value with no spaces.

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, we have the equation \(6x+(9x - 3)+48=180\).

Step2: Combine like - terms

\((6x + 9x)+(48 - 3)=180\), which simplifies to \(15x+45 = 180\).

Step3: Isolate the variable term

Subtract 45 from both sides of the equation: \(15x=180 - 45\), so \(15x=135\).

Step4: Solve for x

Divide both sides by 15: \(x=\frac{135}{15}\), and \(x = 9\).

Answer:

9