1. The problem asks: Which part of the spherical triangle will be encircled? 2. In spherical geometry, the term "encircled" typically refers to the part of the triangle that is enclosed or bounded by the sides of the triangle. 3. The options given are: given, unknown, hypotenuse, and angles. 4. The hypotenuse is a term from right-angled planar triangles and is not typically used in spherical triangles. 5. The "given" and "unknown" are general terms and do not specify a part of the triangle. 6. The angles of a spherical triangle are the points where the sides meet and define the shape of the triangle. 7. Therefore, the part of the spherical triangle that is encircled or enclosed is the area bounded by the sides, which is defined by the angles. Final answer: Angles