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, \(41^{\circ}+34^{\circ}+15y = 180^{\circ}\).

Step2: Simplify the left - hand side

First, add \(41^{\circ}\) and \(34^{\circ}\): \(41 + 34=75\). The equation becomes \(75+15y = 180\).

Step3: Solve for \(y\)

Subtract \(75\) from both sides: \(15y=180 - 75\). So, \(15y = 105\). Then divide both sides by \(15\): \(y=\frac{105}{15}\).

Answer:

\(7\)