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In the given figure, AB||CD. Find the value of x.
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Asked by Santosh.kumar0317 | 19 Aug, 2019, 05:12: PM
answered-by-expert Expert Answer
AB || DC and AC is a transversal.
 
mbegin mathsize 16px style angle end styleBAC + mbegin mathsize 16px style angle end styleACD = 1800 (Sum of Co - interior angle is 1800 )
→mbegin mathsize 16px style angle end styleACD = 1800 - 750 = 1050 
mbegin mathsize 16px style angle end styleECF =mbegin mathsize 16px style angle end styleACD  = 1050   ...(vertically opposite angles) 
In ΔCEF,
begin mathsize 16px style angle end styleECF + begin mathsize 16px style angle end styleE + begin mathsize 16px style angle end styleF = 1800  (Sum of all the three angles of a triangle is 1800)
→ 1050  + x + 300 =1800
→  x = 450
Answered by Yasmeen Khan | 19 Aug, 2019, 05:46: PM

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