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

Explanation:

Step1: Recall angle - sum property

The sum of interior angles of a triangle is 180°. So, 31°+(v + 45°)+3v=180°.

Step2: Combine like - terms

Combine the constant terms and the variable terms: (31 + 45)+(v+3v)=180, which simplifies to 76 + 4v=180.

Step3: Isolate the variable term

Subtract 76 from both sides of the equation: 4v=180 - 76, so 4v=104.

Step4: Solve for v

Divide both sides by 4: v = \frac{104}{4}=26.

Answer:

26