Question

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

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, $y + 49=2y+(2y - 6)$.

Step2: Simplify the equation

First, expand the right - hand side: $y + 49=2y+2y - 6$. Then combine like terms: $y + 49=4y - 6$.

Step3: Isolate the variable y

Subtract y from both sides: $49=4y - y-6$, which simplifies to $49 = 3y-6$. Then add 6 to both sides: $49 + 6=3y$, so $55 = 3y$.

Step4: Solve for y

Divide both sides by 3: $y=\frac{55}{3}\approx18.3$.

Answer:

$18.3$