Question

there is a triangle uv (the third vertex is u) with angle at v being 50° and angle at the other base vertex being 15°. the angle at u is marked with a curved line (indicating its an angle to be found or analyzed).

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). Let \(\angle U\) be the unknown angle.

Step2: Calculate \(\angle U\)

We know \(\angle V = 90^\circ\), \(\angle W = 15^\circ\) (assuming the third vertex is \(W\)). So \(\angle U=180^\circ - 90^\circ - 15^\circ\).
Calculate: \(180 - 90 - 15 = 75^\circ\).

Answer:

The measure of \(\angle U\) is \(75^\circ\)