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, \(4y + 48^{\circ}+32^{\circ}=180^{\circ}\).

Step2: Simplify the left - hand side

First, add \(48^{\circ}\) and \(32^{\circ}\). \(4y+(48 + 32)^{\circ}=180^{\circ}\), which gives \(4y+80^{\circ}=180^{\circ}\).

Step3: Solve for \(4y\)

Subtract \(80^{\circ}\) from both sides. \(4y=180^{\circ}-80^{\circ}\), so \(4y = 100^{\circ}\).

Step4: Solve for \(y\)

Divide both sides by \(4\). \(y=\frac{100^{\circ}}{4}\).

Answer:

\(25\)