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 the exterior angle theorem

The exterior angle theorem states that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles.
So, \(y + 50=(y + 19)+(2y+6)\)

Step2: Simplify the equation

Expand the right - hand side: \(y + 50=y + 19+2y+6\)
Combine like terms: \(y + 50=3y+25\)

Step3: Solve for \(y\)

Subtract \(y\) from both sides: \(50 = 2y+25\)
Subtract 25 from both sides: \(2y=50 - 25\)
\(2y=25\)
Divide both sides by 2: \(y=\frac{25}{2}=12.5\)

Answer:

\(12.5\)