Question

what is the value of v? v + 30° v - 5° v - 3° 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, $v + 30=(v - 5)+(v - 3)$.

Step2: Simplify the right - hand side

$(v - 5)+(v - 3)=v - 5+v - 3=2v-8$. So the equation becomes $v + 30=2v - 8$.

Step3: Solve for v

Subtract v from both sides: $30=2v - v-8$. Then add 8 to both sides: $v=30 + 8$.

Answer:

$38$