In the given figure, `AB||CD` and EF is a transversal. If `angleEGB= x^(@) and angleGHC= (4x)^(@)`, find the value of x.
Text Solution
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The correct Answer is:
`36^(@)`
Since `AB||CD` `implies /_EGB=/_AGH`......(Vertically Opposite Angles) `implies /_AGH=x` Also, `/_CHG+/_AGH=180^@`....(Angles on the same side of a transversal are supplementary) `implies 4x^@+x^@+180^@` `implies 5x^@=180^@` `implies x^@=(180^@)/5` `implies x=36^@` `:.x=36^@`
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