Question

the diagram shows a triangle. what is the value of y? y = □°

Explanation:

Step1: Use the triangle angle - sum property

The sum of angles in a triangle is \(180^{\circ}\). So, \(2y + 2y+48^{\circ}=180^{\circ}\).

Step2: Combine like terms

\(4y+48^{\circ}=180^{\circ}\).

Step3: Isolate the term with \(y\)

Subtract \(48^{\circ}\) from both sides: \(4y = 180^{\circ}-48^{\circ}\), so \(4y=132^{\circ}\).

Step4: Solve for \(y\)

Divide both sides by \(4\): \(y=\frac{132^{\circ}}{4}\).

Answer:

\(33\)