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One angle of a quadrilateral is 180^0 an...

One angle of a quadrilateral is `180^0` and the remaining three angles are equal. Find the three equal angles.

Text Solution

Verified by Experts

Let each of the three equal angles be `x^(@)`.
Now, sum of angles of a quadrilateral = `360^(@)`
`rArr" "108^(@)+x^(@)+x^(@)+x^(@)=360^(@)rArr3x^(@)=360^(@)-180^(@)`
`rArr" "x^(@)=(252^(@))/(3)` ltBrgt `therefore" "x^(@)=84^(@)`
Hence, each of the three equal angles is `84^(@)`.
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