Question

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

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, we can write the equation \(3v+(3v - 48)+36=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \(3v+3v-48 + 36=6v-12\). So the equation becomes \(6v-12 = 180\).

Step3: Isolate the variable term

Add 12 to both sides of the equation: \(6v-12 + 12=180 + 12\), which gives \(6v=192\).

Step4: Solve for \(v\)

Divide both sides of the equation by 6: \(v=\frac{192}{6}=32\).

Answer:

\(32\)