Question

Find the measures of the unknown angles $x$ and $y$ in degrees. Where $x$ and $y$ are complement to each other and $y={70}^o+x$.

Answer 1

Given angle $x$ and $y$ are complementary.

Then

$x+y={90}^o$

or, $x+{70}^o+x={90}^o$ [ Since $y={70}^o+x$]

or, $2x={20}^o$

or, $x={10}^o$.

So the angles are ${10}^o$ and ${80}^o$.