Math, asked by rakshankmr, 1 year ago

In the given figure ABCD is a trapezium and AB||CD. Find the values of x.

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Answered by sky365plus

triangle ADO and BCO are similar hence,

AO/OC=BO/OD
(x-2)/(x-1)=(x+3)/(x+5)
-3x+2=8x+15
11x=-13
x=-13/11

Hope it helped.

rakshankmr: It really helped^_^ thanks a lot "sky"... :P

rakshankmr: wait a sec....how are they similar?

rakshankmr: there are vertically opp angles and ?

sky365plus: Angles, AOD and BOC are equal. so to DAC & ACB , and ADO & OBC. and just because all of the three angles are equal, we can say that those both triangles are similar I hope that your doubt is cleared, you can always ask if you have any. ^^

rakshankmr: Ok I get it! Thanks for clearing my doubt!

sky365plus: You're most welcome. ^^

Answered by QwertyZoom278

Hence the wo triangles are similar,
(x-2)/(x-1)=(x+3)/(x+5)

means, x=-13/11

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