Question

what is the value of v? v - 30° v - 30° v v = ° solve linear equations: mixed review angle measures

Explanation:

Step1: Use angle - sum property of a triangle

The sum of interior angles of a triangle is 180°. In the given triangle, we have the equation $(v - 30)+(v - 30)+v=180$.

Step2: Combine like - terms

Combining the terms on the left - hand side gives $v+v + v-30 - 30=180$, which simplifies to $3v-60 = 180$.

Step3: Isolate the variable term

Add 60 to both sides of the equation: $3v-60 + 60=180 + 60$, resulting in $3v=240$.

Step4: Solve for v

Divide both sides of the equation by 3: $\frac{3v}{3}=\frac{240}{3}$, so $v = 80$.

Answer:

$80$