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In the given figure, angleA=40^(@), angl...

In the given figure, `angleA=40^(@), angle3=60^(@) and bar(PQ)` is parallel to `bar(AB)`. Find the other angles mentioned in the figure.

Text Solution

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The correct Answer is:
`angle1=40^(@), angle2=80^(@), angle4=60^(@)`
Given `bar(PQ)" || "bar(AB)`.

`angleA=angle(1)" (alternate angles)"`
`angle(1)=40^(@)`
`angle(3)=angle4" (alternate angles)"`
`therefore angle4=60^(@)`
`angle(1)+angle(2)+angle(3)=180^(@)" (straight angle)"`
`40^(@)+angle2+60^(@)=180^(@)`
`angle2=80^(@)`
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