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Geometry Guided Notes Segment and Angle Addition Name: ___________________________ Date: ________________ Period: ____ ____________________________________ Postulate - If B is between A and C, then AB + BC = AC. Example 1: 3 5 Example 2: Find EF. Example 3: Let J be between H and K. Use the segment Addition Postulate to solve for w. Find the length of each segment. HJ = 6w -5 JK = 4w - 6 KH = 129 __________________________________Postulate – If C is in the interior of ∡AOD, then m∡AOC + m∡COD = m∡AOD Example 4: Let Q be in the interior of ∡POR. Use the Angle Addition Postulate to solve for x. Find the measure of each angle. m∡POQ = s + 4 m∡QOR = 2s – 2 m∡POR = 26 Geometry Guided Notes Segment and Angle Addition Name: ___________________________ Date: ________________ Period: ____ Example 5: B is in the interior of ∡AOC. C is in the interior of ∡BOD. D is in the interior of ∡COE. m∡AOE = 150°, m∡BOD = 80°, m∡BOC = m∡COD, and m∡AOB = m∡DOE a. Make a sketch (label accordingly using the information above) b. Find the following angles: m∡AOB ___________ m∡BOC ___________ m∡COE ___________