Special Pairs of Angles Answers

NAME Key DATE SCORE Special Pairs of Angles For use after Section 2-4 Find the measures of a complement and a supplement of LC. 90-5 175 180-5 (m\angle C=36) 54, 144 2. (m\angle C=5) 85 175 (m\angle C=70) 20, 110 4. (m\angle C=29) 61, 151 (m\angle C=49.2) 40.8, 130.8 6. (m\angle C=168) n/a, 12 (m\angle C=11) 79, 169 8. (m\angle C=2x) 90-2x, 180-2x In the diagram, (m\angle RIE=90.) (\angle RIV) is complementary to [\angle VIE] (\angle RID) is supplementary to R LRIN (\angle DIR) is adjacent to angle LRIN, CRIV, ZRIE If (m\angle VIN=80) and (m\angle VIE=32,) then D N [m\angle NIE=\underline{48}] Exs. 9-12 In the diagram, (m\angle DOF=90, m\angle BOA=40,) and (m\angle GOF=60.) Complete. C D 14. MLFOE = 40 B 40 [m\angle BOD=\frac{90}{mLGOE=\underline{100}}] 40 16. A E \[m\angle BOC=\underline{60}\] 60" 18. H G [m\angle COD=\underline{30}] [m\angle DOE=\underline{50}] 20. Exs. 13-20 [m\angle AOD=\underline{130}] [m\angle BOO=\underline{120}] Find the value of x. 22. \[(2x-3)^{n}\] \[(3x+71)^{\circ}\] \[(6x+2)^{2}\] 85 \[x=\underline{44}\] \[x=\underline{23}\] If LC and LD are complementary, complete the following. (m\angle C=3x, m\angle D=x-6) 24. (m\angle C=x+10, m\angle D=2x-7) (x=\underline{24}) mLC 72, (m\angle D=\underline{18}) (x=\underline{29}) MLC 39, [m\angle D=\underline{51}] If LE and LF are supplementary, complete the following. (m\angle E=5y-3, m\angle F=2y+1) 26. (m\angle E=\underline{y}-9, m\angle F=4y+14) [m\angle F=\underline{53}] [y=\underline{35},] [m\angle E=\underline{121}] [m\angle E=\underline{26}] [y=\underline{26}] [m\angle F=\underline{154}]