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In the figure, bar(PA)" || "bar(QB). If ...

In the figure, `bar(PA)" || "bar(QB)`. If AT and BS ubtersect at C,find `angleACS`.

Text Solution

Verified by Experts

The correct Answer is:
`75^(@)`

Given that `bar(AP)" || "bar(BQ)`.
Draw `bar(MN)" || "bar(AP)" || "bar(BQ)`.
`anglePAC=angleACM" (Alternate angle)"`
`rArr angleACM=50^(@)`
Similarly `angleBCM=angleCBQ=55^(@)`
`rArr angleACB=50^(@)+55^(@)=105^(@)`
`rArr angleACS=180^(@)-105^(@)=75^(@)`
`(angleACB and angleACS "linear pair")`
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