Question

50° 2v + 1 ° 65° v = ____

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, we set up the equation $(2v + 1)+50 + 65=180$.

Step2: Simplify the left - hand side of the equation

Combine like terms: $(2v+1)+50 + 65=2v+(1 + 50+65)=2v + 116$. So the equation becomes $2v+116 = 180$.

Step3: Isolate the variable term

Subtract 116 from both sides of the equation: $2v+116-116=180 - 116$, which simplifies to $2v=64$.

Step4: Solve for v

Divide both sides of the equation by 2: $\frac{2v}{2}=\frac{64}{2}$, so $v = 32$.

Answer:

32