Question

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

Explanation:

Step1: Use the triangle angle sum property

The sum of angles in a triangle is \(180^{\circ}\). So, \(42^{\circ}+72^{\circ}+11u = 180^{\circ}\).

Step2: Simplify the left - hand side

First, add \(42^{\circ}\) and \(72^{\circ}\): \(42 + 72=114\). The equation becomes \(114+11u = 180\).

Step3: Solve for \(u\)

Subtract \(114\) from both sides: \(11u=180 - 114\). Then \(11u = 66\). Divide both sides by \(11\): \(u=\frac{66}{11}\).

Answer:

\(6\)