Question

the diagram shows a triangle. 57° 51° 3u what is the value of u? u = □° submit

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(57^\circ + 51^\circ + 3u = 180^\circ\).

Step2: Simplify the equation

First, add \(57\) and \(51\): \(57 + 51 = 108\). The equation becomes \(108 + 3u = 180\).

Step3: Solve for \(3u\)

Subtract \(108\) from both sides: \(3u = 180 - 108 = 72\).

Step4: Solve for \(u\)

Divide both sides by \(3\): \(u = \frac{72}{3} = 24\).

Answer:

\(24\)