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

Answer:

$15$

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of interior angles of a triangle is $180^{\circ}$. So, $(w + 15)+4w+60 = 180$.

Step2: Combine like - terms

$(w+4w)+(15 + 60)=180$, which simplifies to $5w+75 = 180$.

Step3: Isolate the variable term

Subtract 75 from both sides: $5w=180 - 75$, so $5w=105$.

Step4: Solve for $w$

Divide both sides by 5: $w=\frac{105}{5}=15$.