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If x^(@) is the measure of an angle whic...

If `x^(@)` is the measure of an angle which is equal to its completment and `y^(@)` is the measure of an angle which is equal to its supplement, then find `(x^(@))/(y^(@))`

Text Solution

Verified by Experts

Complement of `x^(@)"is" 90^(@)x^(@)`
According to the I condition,
`:. x^(@)=90^(@)-x^(@)`
`rArr 2x^(@)=90^(@)rarrx^(@)=45^(@)" "....(1)`
Also, supplement of `y^(@)"is"180^(@)-y^(@)`
According to the II conidition,
`:. y^(@)=180^(@)-y^(@)`
`rArr 2y^(@)=180^(@)rarry^(@)=90" ".....(2)`
`:. (x^(@))/(y^(@))=(45^(@))/(90^(@))=(1)/(2)=0.5`
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