Q. 513.6( 9 Votes )

The larger of the two supplementary angles exceeds the smaller by 18°. Find them.

Answer :

Let the bigger supplementary angle be x° .


and smaller supplementary angle be y° .


According to question -


x° + y° = 180°.....(1)


[ properties of supplementary angles ]


and,


x° - y° = 18°.....(2)


Adding equations (1) and (2), we get -


x° = 99°


Substituting the value of x° in equation (1), we get -


y° = 81°


Thus , the two supplementary angles are 81° and 99°.


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