Solve:m/ABC5¬m/ECD425x5¬7x110045¬12x11002965¬12x285¬xExamine:Verify the angle measures by using thevalue of xto find m/ABCand m/ECD.m/ABC5¬425x5¬425(28) or 44m/ECD5¬7x11005¬7(28)1100 or 44Since m/ABC5m/ECD,/ABC>/ECDand , im.30.Explore:From the figure, you know that m/ABC514x19 and m/DEF55x190. You also knowthat /ABCand /DEFare alternate exterior angles.Plan:For line ,to be parallel to line m,thealternate exterior angles must be congruent. So,m/ABC5m/DEF. Substitute the given anglemeasures into this equation and solve for x.Solve:m/ABC 5¬m/DEF14x195¬5x1909x195¬909x5¬81x5¬9Examine:Verify the angle measures by using thevalue of xto find m/ABCand m/DEF.m/ABC5¬14x195¬14(9)19 or 135m/DEF5¬5x1905¬5(9)190 or 135Since m/ABC5m/DEF,/ABC>/DEFand , im.31.Explore:From the figure, you know that m/ABC51782 3x and m/DEF57x238. You also knowthat /ABCand /DEFare alternate exterior angles.
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