Find the angle and segment with solutions. You may create your own values.

Note: Theorem 110, must have special right triangle to prove.

In Circle H, Segment RA is a diameter Theorem 100: Inscribed Quadrilateral Theorem Quadrilateral DROA Needed Values of Segments/Angles: R (Angle/s: DRO, ROA, OAD, ADR) O Theorem 105: The Perpendicular to a Chord Theorem Segment DK is congruent to Segment KO Segment HK is Perpendicular to Segment DO, therefore Segment HK bisects Segment DO Needed Values of Segments/Angles: (Segment/s: HK & DO) N Theorem 108: The Perpendicular Bisector Chord to Central L Angle Theorem Segment HK is the Perpendicular Bisector of Chord DO, therefore Segment HK bisects Angle DHO Needed Values of Segments/Angles: (Angle/s: DHO) Theorem 110: Distance - Chord Theorem Segment HZ is congruent to Segment HP, therefore Chord DA is congruent to Chord OA A Needed Values of Segments/Angles: (Segment/s: HZ, HP, DA, OA) Theorem 114: The Intersecting Secants - Interior Theorem Lines NO and DL intersects at point C, therefore the measure of Angle LCN is equals to half of the sum of Arc LAN and Arc DO Needed of Arcs/Angles: (Arc/s: LAN & DO ; Angle/s: LCN)