Can you help me with problems 1 AND 2 1.5 Describe Angle PairRelationshipsBeforeYou used angle postulates to measure and classify angles.NowYou will use special angle relationships to find angle measures.Why?So you can find measures in a building, as in Ex. 53.Key Vocabulary• complementaryangles• supplementaryangles• adjacent angles• linear pair• vertical anglesTwo angles are complementary angles if the sum of their measures is 90°.Each angle is the complement of the other. Two angles are supplementaryangles if the sum of their measures is 180°. Each angle is the supplement ofthe other.Complementary angles and supplementary angles can be adjacent anglesor nonadjacent angles. Adjacent angles are two angles that share a commonvertex and side, but have no common interior points.Complementary anglesSupplementary anglesсоммонCORECC.9-12.G.CO.1 Know precisedefinitions of angle, circle,perpendicular line, parallel line,and line segment, based onthe undefined notions of point,line, distance along a line, anddistance around a circular arc.AdjacentNonadjacentAdjacentNonadjacentEXAMPLE 1Identify complements and supplementsIn the figure, name a pair of complementaryangles, a pair of supplementary angles, anda pair of adjacent angles.AVOID ERRORS****.........................*In Example 1, Z DAC andZDAB share a commonvertex. But they sharecommon interior points,so they are not adjacentI 12232SolutionBecause 32° + 58° = 90°, Z BAC and ZRST are complementary angles.Because 122° + 58° = 180°, Z CAD and ZRST are supplementary angles.angles.Because ZBACand ZCAD share a common vertex and side, they are adjacent.GUIDED PRACTICEfor Example 11. In the figure, name a pair of complementaryangles, a pair of supplementarypair of adjacent angles.Ggles, and a41/131°492. Are ZKGH and ZLKG adjacent angles? AreZFGK and ZFGH adjacent angles? Explain.1.5 Describe Angle Pair Relationships35

Name: Can you help me with problems 1 AND 2 1.5 Describe Angle PairRelations
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Description: Can you help me with problems 1 AND 2 1.5 Describe Angle PairRelationshipsBeforeYou used angle postulates to measure and classify angles.NowYou will use special angle relationships to find angle measures.Why?So you can find measures in a building, as