Question

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

Explanation:

Step1: Recall angle - sum property

The sum of interior angles of a triangle is 180°. So, 9x + 11x+60 = 180.

Step2: Combine like - terms

(9x + 11x)+60 = 180, which simplifies to 20x+60 = 180.

Step3: Isolate the variable term

Subtract 60 from both sides: 20x+60 - 60=180 - 60, getting 20x = 120.

Step4: Solve for x

Divide both sides by 20: $\frac{20x}{20}=\frac{120}{20}$, so x = 6.

Answer:

6