Question

the diagram shows a triangle. what is the value of w? write your answer as an integer or as a decimal rounded to the nearest tenth. w =

Explanation:

Step1: Apply angle - sum property of a triangle

The sum of interior angles of a triangle is 180°. So, $(3w - 4)+3w + 60=180$.

Step2: Combine like - terms

Combine the w - terms and the constant terms: $(3w+3w)+(- 4 + 60)=180$, which simplifies to $6w+56 = 180$.

Step3: Isolate the variable term

Subtract 56 from both sides of the equation: $6w=180 - 56$, so $6w=124$.

Step4: Solve for w

Divide both sides by 6: $w=\frac{124}{6}=\frac{62}{3}\approx20.7$.

Answer:

$20.7$