Question

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

Explanation:

Step1: Use the triangle angle - sum property

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \((v - 37)+(v + 27)+30=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \((v+v)+(-37 + 27+30)=180\), which simplifies to \(2v+( - 10 + 30)=180\), and further to \(2v + 20=180\).

Step3: Solve for \(v\)

Subtract \(20\) from both sides: \(2v=180 - 20\), so \(2v=160\). Then divide both sides by \(2\): \(v=\frac{160}{2}\).

Answer:

\(80\)