Question

what is the value of v? write your answer as an integer or as a decimal rounded to the nearest tenth. v =

Explanation:

Step1: Apply exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, $7v=(4v - 1)+(v + 33)$.

Step2: Simplify the right - hand side

Combine like terms on the right - hand side: $(4v - 1)+(v + 33)=4v+v-1 + 33=5v+32$. So the equation becomes $7v=5v + 32$.

Step3: Solve for $v$

Subtract $5v$ from both sides of the equation: $7v-5v=5v + 32-5v$. This gives $2v=32$.

Step4: Find the value of $v$

Divide both sides of the equation $2v=32$ by 2: $v=\frac{32}{2}=16$.

Answer:

$v = 16$