Question

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

Explanation:

Step1: Use the triangle - angle - sum property

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(79^{\circ}+59^{\circ}+(3v - 15)^{\circ}=180^{\circ}\).

Step2: Simplify the left - hand side of the equation

First, add the known angles: \(79 + 59-15+3v=180\). Then, \(123+3v = 180\).

Step3: Solve for \(v\)

Subtract \(123\) from both sides: \(3v=180 - 123\). So, \(3v = 57\). Then divide both sides by \(3\): \(v=\frac{57}{3}\).

Answer:

\(19\)