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, \((v - 11^{\circ})+(v + 35^{\circ})+60^{\circ}=180^{\circ}\).

Step2: Combine like - terms

\(v-11 + v+35 + 60=180\), which simplifies to \(2v+( - 11+35 + 60)=180\), then \(2v+(24 + 60)=180\), and further to \(2v + 84=180\).

Step3: Isolate the variable term

Subtract 84 from both sides of the equation: \(2v+84 - 84=180 - 84\), resulting in \(2v=96\).

Step4: Solve for \(v\)

Divide both sides by 2: \(\frac{2v}{2}=\frac{96}{2}\), so \(v = 48\).

Answer:

\(48\)