9. In Fig. 10.38, AC L CE and measures ofLA: ZB: ZC are in the ratio o – InterviewSolution

1.	9. In Fig. 10.38, AC L CE and measures ofLA: ZB: ZC are in the ratio of 3:2:1,respectively. Find the measure of ZECD.Fig. 10.38
Answer» since angles A, B and C are in 3:2:1 therefore, let A=3x, B=2x, C=xnow, sum of all angles of a triangle is 180°hence, 3x+2x+x=1806x=180x=180/6x=30°=angle Cnow, angleC + angleACE +angleECD =180(they form a straight line)therefore, 30+90+angleECD=180angleECD=180-90-30angleECD=180-120angleECD=60°

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