This math topic covers intermediate geometry, specifically focusing on inscribed angles in circles subtended by the same arc. Students are required to calculate missing angles based on given angles within various circle diagrams. The problems involve examining relationships and their properties between arcs and chords to find the desired unknown angles. Each question provides multiple choice answers which further develop students' ability to solve and verify geometric configurations in circles. This is a part of broader geometry practice aimed at enhancing students' problem-solving skills and understanding of geometric principles.
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Find angle XBP in degrees given that XDP is 55º and DPB is 30º
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