In the given figure, AB||CD. Find the value of x.

Asked by Santosh.kumar0317 | 19th Aug, 2019, 05:12: PM

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 = 180(Sum of all the three angles of a triangle is 1800)
→ 105 + x + 300 =1800
→  x = 450

Answered by Yasmeen Khan | 19th Aug, 2019, 05:46: PM