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ICSE Class 10 Answered

If AB//EF , DE//BC , AC // DF, find x and y ?
Asked by nisha_vini29 | 22 Jun, 2017, 10:10: AM
answered-by-expert Expert Answer
begin mathsize 16px style Let comma space point space straight P space be space the space intersection space of space AB space and space DE.
rightwards double arrow angle APD equals 110 degree space space space space space Vertically space opposite space angles
rightwards double arrow angle DMB equals angle AME equals 70 degree
Let comma space straight Q space be space the space intersection space of space AB space and space DF
In space increment space DPQ comma
angle DQP equals 180 degree minus 60 degree minus 70 degree
angle DQP equals 50 degree
rightwards double arrow angle DFE equals 50 degree space space space space space space space Interior space angle space as space AB space parallel space to space EF
similarly space you space can space compute space remaining space angles.
you space will space get
straight x equals 120 degree space and space straight y equals 120 degree end style
Answered by Sneha shidid | 22 Jun, 2017, 05:07: PM

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