Question

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

Explanation:

Step1: Recall the sum of angles in a triangle

The sum of the interior angles of a triangle is \(180^{\circ}\).

Step2: Set up the equation

Let the three angles of the triangle be \(72^{\circ}\), \(49^{\circ}\), and \(y\). Then \(72 + 49+y=180\).

Step3: Solve for \(y\)

First, calculate \(72 + 49 = 121\). Then \(y=180 - 121\).

Answer:

\(y = 59^{\circ}\)