Question

what is the value of y?
2y + 6°
5y
y + 18°
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. Here, \(5y=(2y + 6)+(y + 18)\).

Step2: Simplify the right - hand side

Simplify \((2y + 6)+(y + 18)\):

$$
LATEXBLOCK0
$$

So the equation becomes \(5y=3y + 24\).

Step3: Solve for \(y\)

Subtract \(3y\) from both sides of the equation \(5y=3y + 24\):

$$
LATEXBLOCK1
$$

Divide both sides by \(2\): \(y=\frac{24}{2}=12\).

Answer:

\(12\)