Question

the diagram shows a triangle.
what is the value of y?
y = \boxed{\space}°

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(60^\circ + 2y + 2y = 180^\circ\).

Step2: Simplify the equation

Combine like terms: \(60 + 4y = 180\). Subtract \(60\) from both sides: \(4y = 180 - 60 = 120\).

Step3: Solve for y

Divide both sides by \(4\): \(y = \frac{120}{4} = 30\).

Answer:

\(y = 30^\circ\)