Question

the triangle below is equilateral. find the value of y. 60° (2y + 4)° y = ?

Explanation:

Step1: Recall equilateral triangle property

In an equilateral triangle, all interior angles are equal to \(60^\circ\). So the angle \((2y + 4)^\circ\) must also be \(60^\circ\).

Step2: Set up the equation

We set up the equation \(2y + 4 = 60\).

Step3: Solve for y

Subtract 4 from both sides: \(2y = 60 - 4 = 56\). Then divide both sides by 2: \(y=\frac{56}{2}=28\).

Answer:

28