Question

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

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(20y + 9y + 7y = 180\).

Step2: Combine like terms

Combine the terms on the left: \(20y + 9y + 7y = (20 + 9 + 7)y = 36y\). So, \(36y = 180\).

Step3: Solve for y

Divide both sides by 36: \(y=\frac{180}{36}=5\).

Answer:

\(y = 5\)