Question

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

Explanation:

Step1: Recall the triangle angle - sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). Let the three angles of the triangle be \(47^{\circ}\), \(70^{\circ}\), and \(v\). Then we have the equation \(47 + 70+v=180\).

Step2: Solve the equation for \(v\)

First, add \(47\) and \(70\): \(47 + 70=117\). So the equation becomes \(117 + v=180\). Then subtract \(117\) from both sides: \(v=180 - 117\).

Answer:

\(v = 63\)