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Transcript
Name ___________________________________________ Date _____________________ Class ____________________ 1.4 Pairs of Angles Unit 1: Foundations for Geometry In each box, draw an example of that pair of angles. Write in angle measures to show important properties of each pair (if there are any). Adjacent Angles Linear Pair Complementary Angles Pairs of Angles Supplementary Angles Vertical Angles Complete the statements. 1. Adjacent angles are two angles in the same plane with a common __________ and a common __________, but no common interior points. 2. A __________ is a pair of adjacent angles whose noncommon sides are opposite rays. 3. Complementary angles are two angles whose measures have a sum of __________. 4. The kind of angle formed by the noncommon sides of two adjacent and complementary angles is a _______________. 5. _______________ angles are two angles whose measures have a sum of 180°. 6. The kind of angle formed by the noncommon sides of two adjacent and supplementary angles is a _______________. Use the figure for Exercises 7 and 8. In 2004, several nickels were minted to commemorate the Louisiana Purchase and Lewis and Clark’s expedition into the American West. One nickel shows a pipe and a hatchet crossed to symbolize peace between the American government and Native American tribes. 7. Name a pair of vertical angles. ____________________________________________ 8. Name a linear pair of angles. ____________________________________________ Holt McDougal Geometry Name ___________________________________________ Date _____________________ Class ____________________ Use the figures for Exercises 9 – 11. 9. supplement of ∠Z __________ 10. complement of ∠Z __________ 11. complement of ∠Y __________ In an equilateral triangle, all three sides have equal lengths and all three angles have equal measures. Find the measure of the following angles. 12. supplement of ∠A __________ 13. complement of ∠A __________ 14. An angle measures 12 degrees less than three times its supplement. Find the measure of the angle. __________ 15. An angle is its own complement. Find the measure of a supplement to this angle. _________ 16. ∠DEF and ∠FEG are complementary. m∠DEF = (3x − 4)°, and m∠FEG = (5x + 6)°. Find the measures of both angles. __________________________________________________ 17. ∠DEF and ∠FEG are supplementary. m∠DEF = (9x + 1)°, and m∠FEG = (8x + 9)°. Find the measures of both angles. __________________________________________________ 18. ∠ABC and ∠CBD form a linear pair and have equal measures. Tell if ∠ABC is acute, right, or obtuse. _____________________________________ 19. ∠KLM and ∠MLN are complementary. LM bisects ∠KLN. Find the measures of ∠KLM and ∠MLN. _____________________________________ Holt McDougal Geometry