Question

write your answer as an integer or as a decimal rounded to the nearest tenth. y =

Explanation:

Step1: Apply exterior - angle theorem

The exterior - angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non - adjacent interior angles. So, $y + 50=(3y - 39)+34$.

Step2: Simplify the right - hand side

Simplify the right - hand side of the equation: $(3y - 39)+34=3y-5$. So the equation becomes $y + 50=3y-5$.

Step3: Isolate the variable terms

Subtract $y$ from both sides: $y - y+50=3y - y-5$, which simplifies to $50 = 2y-5$.

Step4: Solve for $y$

Add 5 to both sides: $50 + 5=2y-5 + 5$, so $55 = 2y$. Then divide both sides by 2: $y=\frac{55}{2}=27.5$.

Answer:

$y = 27.5$