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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