The angle bisectors of XYZ are XG, YG, and ZG. They meet at a single point G.(In other words, G is the incenter of XYZ.)Suppose =DG14, =XG19, =m∠DXF94°, and =m∠FZG16°.Find the following measures.

A triangle ABC is inscribed in a circle, and the bisectors of the angle ∠A, ∠B and ∠C meet the circumference at X, Y, Z respectively. The angles of the triangle X, Y, Z are respectively

If one angle of a triangle is 130଴, then find the measurement of theangle between the bisectors of the other two angles.

Determine the measure of the ANGLE BISECTOR of angle ABE if angle ABD = 22o . Do not include the degree sign in your answer.

In triangle XYZ, the measure of angle Y is 90°90° and YW¯¯¯¯¯¯𝑌𝑊¯ is an altitude of the triangle. The length of XY¯¯¯¯¯¯𝑋𝑌¯ is 26, and the length of XZ¯¯¯¯¯𝑋𝑍¯ is triple the length of XY¯¯¯¯¯¯𝑋𝑌¯. What is the value of YW¯¯¯¯¯¯YZ¯¯¯¯¯𝑌𝑊¯𝑌𝑍¯?130130eliminate1313eliminate33eliminate2626eliminate

Consider GHJ in the figure below.The perpendicular bisectors of its sides are KN, LN, and MN. They meet at a single point N.(In other words, N is the circumcenter of GHJ.)Suppose =LN48, =GK88, and =GN102.Find HN, LJ, and GJ.