Question

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

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(54 + 11w + 7w = 180\).

Step2: Combine like terms

Combine \(11w\) and \(7w\) to get \(18w\). The equation becomes \(54 + 18w = 180\).

Step3: Subtract 54 from both sides

Subtract 54: \(18w = 180 - 54 = 126\).

Step4: Solve for w

Divide both sides by 18: \(w = \frac{126}{18} = 7\).

Answer:

\(w = 7\)