Question

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

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, 5x + 9x+54 = 180.

Step2: Combine like - terms

(5 + 9)x+54 = 180, which simplifies to 14x+54 = 180.

Step3: Isolate the variable term

Subtract 54 from both sides: 14x=180 - 54, so 14x = 126.

Step4: Solve for x

Divide both sides by 14: x=\frac{126}{14}=9.

Answer:

9