Question

write your answer as an integer or as a decimal rounded to the nearest tenth. y = (square^{circ})

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, $5y + 8=(2y)+(y + 48)$.

Step2: Simplify the equation

First, combine like terms on the right - hand side: $5y+8 = 3y + 48$.

Step3: Isolate the variable y

Subtract $3y$ from both sides: $5y-3y + 8=3y-3y + 48$, which gives $2y+8 = 48$. Then subtract 8 from both sides: $2y+8 - 8=48 - 8$, so $2y=40$.

Step4: Solve for y

Divide both sides by 2: $\frac{2y}{2}=\frac{40}{2}$, so $y = 20$.

Answer:

$20$