Question

what is the value of y?
4y
3y - 15°
3y - 35°
y =
submit

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, \(4y=(3y - 15)+(3y - 35)\).

Step2: Simplify the right - hand side

First, combine like terms on the right - hand side: \((3y - 15)+(3y - 35)=3y+3y-15 - 35=6y-50\). So the equation becomes \(4y = 6y-50\).

Step3: Solve for \(y\)

Subtract \(4y\) from both sides: \(0 = 6y-4y - 50\), which simplifies to \(0 = 2y-50\). Then add \(50\) to both sides: \(2y=50\). Divide both sides by \(2\): \(y = 25\).

Answer:

\(25\)