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Answer :

Let x,y supplementary angles, then

[tex]x+y=180\degree[/tex]

One of the is 56° larger than the other, let us say x is that angle, which means

[tex]y=x+56\degree[/tex]

Replacing the last expression in the first

[tex]x+(x+56\degree)=180\degree\Rightarrow2x=180\degree-56\degree=124[/tex]

Finally,

[tex]2x=124\degree\Rightarrow x=\frac{124\degree}{2}=62\degree[/tex]

And

[tex]y=62\degree+56\degree=118\degree[/tex]

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