Question

an isosceles triangle is shown. which two angles must be congruent? a ( angle s=angle t ) b ( angle s=angle u ) c ( angle t=angle u ) d cannot be determined

Explanation:

Step1: Recall the property of isosceles triangle

In an isosceles triangle, the angles opposite the equal sides are congruent.

Step2: Identify the equal sides

From the figure, the two equal - length sides are \(TS\) and \(TU\).

Step3: Determine the angles opposite the equal sides

The angle opposite \(TS\) is \(\angle U\), and the angle opposite \(TU\) is \(\angle S\).

Answer:

B. \(\angle S\cong\angle U\)