Question

the diagram shows a triangle.
what is the value of w?
w = \boxed{\circ}

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(61^\circ + 69^\circ + 2w = 180^\circ\).

Step2: Calculate sum of known angles

Add \(61^\circ\) and \(69^\circ\): \(61 + 69 = 130\). So, \(130^\circ + 2w = 180^\circ\).

Step3: Solve for \(2w\)

Subtract \(130^\circ\) from both sides: \(2w = 180 - 130 = 50\).

Step4: Solve for \(w\)

Divide both sides by 2: \(w = \frac{50}{2} = 25\).

Answer:

\(25\)