Question

49° 2v - 17° v + 10° what is the value of v? v = °

Explanation:

Step1: Use the triangle angle sum theorem

The sum of angles in a triangle is \(180^{\circ}\). So, \(49+(2v - 17)+(v + 10)=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \(49-17 + 10+2v+v=180\).
\(42 + 3v=180\).

Step3: Solve for \(v\)

Subtract \(42\) from both sides: \(3v=180 - 42\).
\(3v=138\).
Divide both sides by \(3\): \(v=\frac{138}{3}\).

Answer:

\(46\)