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Find the remaining angle of a parallelog...

Find the remaining angle of a parallelogram if one of its angles is `110^(@).`

Text Solution

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Let in `squareABCD, angleB=110^(@)`
Now, `angleD=angleB" "("opposite angles of a parallelogram")`
`impliesangleD=110^(@)`
Again,
`angleA+angleB=180^(@)("sum of co interior angles as AD ||BC")`
`impliesangleA=180^(@)-angleB=180^(@)-angleB=70^(@)`
and `angleC=angleA`
`impliesangleC=70^(@)`
`thereforeangleA=angleC=70^(@)and angleD=110^(@)`
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