Question

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

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, $4y + 27=2y+3y$.

Step2: Simplify the equation

Combine like terms on the right - hand side: $4y + 27 = 5y$.

Step3: Solve for y

Subtract $4y$ from both sides of the equation: $27=5y - 4y$, which gives $y = 27$.

Answer:

$27$