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ej: i19 (cks) Use the figures to complete these statements. I, mLAFC + mLCFE = 7fl LACE = 3, rnLEFC ± mLCFA = 4, mLFCB + mLDCF = 2. ?flLACB + 5, rnLDCB 6. 7fl LACE — — mLBA = rnLFCE = L 7, rnLGPH +mLHPK= 8. mLOPH + mLHPK mLNPM 9. rnLNPL — 10. mLOPK - mLOPH 1L Find mLPQR. = = f\j = 12. Find rnLDEF. M L is a straight angle. Find mLABD. 13. LABC P 0 1 35 E A 0 B C P 14. Find rnLXYZ. 15. LABC is a right angle. Find mLDBC. x B C 330 A Y 16. Find mLDEF. 17. mLPQR = 1100. Find mLSQR. P 0370 0 P 18. rnLGHI 520. = 19. rnLDEF Find t. Find y. = 180°. H 5t C In each figure, BD is the angle bisector of LABC. 20. Find rnLABC. 21. rnLABC 174°. Find mLDBC and mLABD. = 0 B C A 22. Find mLABC. C B 1500. 23. rnLABC Find rn LABD and m LDBC. B B R C 0 24. Find x. K3) 25. LABC is a straight angle. Find w. A B A C lOw U C B ted id Appy 26. If QS is the angle bisector of LPQR and rnLPQS 24° then mLSQR = P = 120 (c) 48° (D) 90° 27, Two sides oficture frame e glued together to form a corner. Each side is first cut at an angle of 45°. What is the measure of the angle formed by the corner of the frame? 28. Suppose you have an angle drawn on a sheet of paper. How could you fold the paper to find the bisector of the angle? (A) I — — P j): -LL Tell ih ether L 1 and L2 are adjacent. 2.>< 6./ 5. 4 Tell whether Li and L2 form a linear pair. 7. 9. 2. 1 2 13. LR and LS form a linear pair. rnLR = 14, CX and LYform a linear pair, mLY = 132°. Find rnLS. 39°. Find mLX. Extend nd Appy 15. Write always, sometzmes, or never to make the statement true. cc,igruent to the supplement of One angle of a linear pair is the other angle. 16. Three lines are drawn through each pair of three noncollinear points. How many linear pairs are formed? 17. Are LBFC and LCFD adjacent angles? 18. Do LBFC and LCFD form a linear pair? 19, Are LBFE and LEFA adjacent angles? 20. Do LBFE and LEFA form a linear pair? A D E 3 21. An automobile traveling on Arcana Avenue makes a 68° turn onto Chestnut Street, Later, the driver turns around on Chestnut and returns to Arcana to continue heading in the original direction. At what angle will the car turn onto Arcana? 22° (c) 112° (D) 158° (4) 68° Us Mathematica Reasonng 22. \iandell said, “Every linear pair of angles are supplementary, but not every pair of supplementary angles form a linear pair.” Do you agree or disagree? Explain. 23. Write a convincing argument to show that if two angles form a linear pair and have the same measure, then each s a right angle. 24. Two angles form a linear pair. One is 90° larger than the other. The larger angle is times the size of the smaller angle. Mxd Revw 25. Name two pairs of complementary angles E 26. Name four pairs of supplementary angles 27 WhatlsmLAPD2 C A 8. What EZrnLBPD? 29. Name a pair of opposite rays. 30. Find a I5, angle. 1310 0 qf): -7’ Identify each pair of complementary angles. 1. 2. 440 A Find the measures of complements of angles with these measures. 5. 22° 6. 45° 7. 56° 8. 73° 9. 89° 10. t° Identify each pair of supplementary angles. 11. 12. * 1 4O 1390 339O 13. 14. Find the measures of supplements of angles with these measures. 15. 119° 16, 129° 17. 143° 18. 57° 19. 74° 20. s° 21. CT LS and mLT = 78°. Find the measures of the complement and the supplement of CS. 22. CL LK and mLK = 32°. Find the measures of the complement and the supplement of CL. 23. If LA LB and mLA = 63°, then the measure of the complement of LB= 24. If LP LP= LQ and 7nLQ = 108°, then the measure of the supplement of 25. Two complementary angles have the same measure. What is the measure of each angle? 26. What type of angle is the supplement of any acute angle? 27. mLAEC = mLBED. What other angles have the same measure? 28. Examine the protractor shown. How does the outer scale relate to the inner scale? Why is there no inner reading at the 9QD outer reading? 29. An angle’s supplement has a complement. The angle must be (A) acute (B) right or obtuse (c) right only (D) obtuse only 30. Which angles are complementary? 31. Which angles are supplementary? 0 I- A - 0 A E 105° F 32. The measure of an angle is 15° greater than the meas ure of its supplement. Find the measure of each angle. 33. The measure of an angle is 88° less than the measure of its complement. Find the measure of each angle.