Question

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

Explanation:

Step1: Use the triangle angle sum theorem

The sum of interior angles of a triangle is \(180^{\circ}\). So, \((y + 36)+3y + 5y=180\).

Step2: Combine like terms

Combine the \(y\) - terms: \(y+3y + 5y+36=180\), which simplifies to \(9y+36 = 180\).

Step3: Isolate the term with \(y\)

Subtract 36 from both sides: \(9y=180 - 36\), so \(9y=144\).

Step4: Solve for \(y\)

Divide both sides by 9: \(y=\frac{144}{9}\).

Answer:

\(16\)