Question

what is the value of v? v v + 35° v - 50° v = °

Explanation:

Step1: Apply exterior - angle theorem

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, $v + 35^{\circ}=(v - 50^{\circ})+v$.

Step2: Simplify the equation

Expand the right - hand side: $v + 35^{\circ}=v - 50^{\circ}+v$. Combine like terms: $v + 35^{\circ}=2v-50^{\circ}$.

Step3: Solve for v

Subtract v from both sides: $35^{\circ}=2v - v-50^{\circ}$. Then $35^{\circ}=v - 50^{\circ}$. Add 50° to both sides: $v=35^{\circ}+50^{\circ}$.

Answer:

$v = 85^{\circ}$