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Geometry and Trigonometry: Complement and Supplement Angle Worksheet

This worksheet focuses on finding complementary and supplementary angles in various scenarios. Students will calculate the complement and supplement for given angle measures, identify right angles, and name complementary angles in different configurations. The assignment also includes solving for unknown angles using algebraic expressions and working with diagrams to identify congruency in supplementary angle pairs. This comprehensive geometry exercise enhances critical thinking and reinforces angle relationships in Euclidean space.

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Geometry and Trigonometry: Complement and Supplement Angle Worksheet

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  1. Geometry/Trig 2 Name __________________________ • 2-4 Class work Date ______________ Block _______ • Find the complement and supplement of A. • 1) mA = 10 2) mA = 75 3) mA = 89 4) mA = 130 • Comp. _____ Comp. _____ Comp. _____ Comp. _____ • Supp. _____ Supp. _____ Supp. _____ Supp. _____ • For #5 – 8, use the diagram to the right. • Name two right angles. ___________________ • Name two adjacent complementary angles. • _______________________________ • Name two complementary angles that are not adjacent. • _______________________________ • Name a supplement of MLQ. ___________ • For #9 – 18, use the diagram to the right. • 9) AOB  ______ 10) AOE  ______ • 11) FOB  ______ 12) COA  ______ • 13) mFOE = _____ 14) mCOD = _____ • 15) mDOB = _____ 16) mAOB = _____ • 17) mCOE = _____ 18) mFOB = _____ • For #19 – 21, use the diagram to the right, • 19a) Name two congruent supplementary angles. • ________________________ • b) Name two supplementary angles that are not congruent. • ________________________ • c) Name a straight angle. • _________________ • 20) If AXC = 4x + 31 and CXD = 2x – 7, solve for x and find mAXC and mCXD. • 21) If BXC = x – 8 and CXD = 3x + 2, solve for x and find mBXC and mCXD. L M 40° 60° 50° 80° 40° Q P For #5 - 8 B C A X D For #19 – 21 A B 40° 60° C F O D E For #9 – 18

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