Question

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

Explanation:

Step1: Use the triangle angle - sum property

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(2y+(3y - 18)+38=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \((2y+3y)+(-18 + 38)=180\), which gives \(5y+20 = 180\).

Step3: Solve for \(y\)

Subtract 20 from both sides: \(5y=180 - 20\), so \(5y=160\). Then divide both sides by 5: \(y=\frac{160}{5}\).

Answer:

\(y = 32\)