Mathematics

# ${ \left( y-20 \right) }^{ 0 }$ and ${ \left( y+30 \right) }^{ 0 }$ are complementary angles of each other, then find the measure of each one.

##### SOLUTION
Let $A={\left(y-20\right)}^{\circ}$ and $B={\left(y+30\right)}^{\circ}$ be the complementary angles.
$\Rightarrow A+B={90}^{\circ}$
$\Rightarrow y-20+y+30=90$
$\Rightarrow 2y=90-10=80$
$\Rightarrow y=\dfrac{80}{2}={40}^{\circ}$
$\therefore y={40}^{\circ}$

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