Question

the diagram shows a triangle. triangle with angles 5y, 19y, 6y what is the value of y? y = \square°

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(5y + 19y + 6y = 180\).

Step2: Combine like terms

Combine the \(y\)-terms: \(5y + 19y + 6y = (5 + 19 + 6)y = 30y\). So, \(30y = 180\).

Step3: Solve for \(y\)

Divide both sides by 30: \(y=\frac{180}{30}=6\).

Answer:

\(y = 6\)