the diagram shows a triangle.\nwhat is the value of ( v )?\n( v = square^circ )

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is (180^\circ). So, (5v + 10v + 60^\circ = 180^\circ).

Step2: Combine like terms

Simplify the left - hand side: (15v+60 = 180).

Step3: Solve for v

Subtract 60 from both sides: (15v=180 - 60=120). Then divide both sides by 15: (v=\frac{120}{15} = 8).

Answer:

(v = 8)