Q. 513.6( 9 Votes )

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

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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