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, \(53^{\circ}+61^{\circ}+3y = 180^{\circ}\).

Step2: Simplify the left - hand side

First, add \(53\) and \(61\): \(53 + 61=114\). Then the equation becomes \(114+3y = 180\).

Step3: Solve for \(3y\)

Subtract \(114\) from both sides of the equation: \(3y=180 - 114\). So, \(3y = 66\).

Step4: Solve for \(y\)

Divide both sides of the equation \(3y = 66\) by \(3\): \(y=\frac{66}{3}\).

Answer:

\(y = 22\)