If $A, B$ are supplementary angles the ${sin}^{2} A + {sin}^{2} B =$

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Solution

${sin}^{2} A + {sin}^{2} B =$
$= {(sin (180 - B))}^{2} + {sin}^{2} B$
$= {sin}^{2} B + {sin}^{2} B = 1$

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