Question
Measures (in degrees) of two complementary angles are two consecutive even integers. Find the angles.
✓
Answer
Let the two consecutive angles be $x$ and $x + 2.$
Since, both angles are complementary.
So, their sum will be $90^\circ .$
$\therefore\text{x}+(\text{x}+2)=90^\circ$
$\Rightarrow\text{x}+\text{x}+2=90^\circ$
$\Rightarrow2\text{x}=90^\circ-2$
$\Rightarrow2\text{x}=88^\circ$
$\Rightarrow\text{x}=44^\circ$
Therefore, the angies are $44^\circ $ and $44^\circ + 2 =46^\circ $
Since, both angles are complementary.
So, their sum will be $90^\circ .$
$\therefore\text{x}+(\text{x}+2)=90^\circ$
$\Rightarrow\text{x}+\text{x}+2=90^\circ$
$\Rightarrow2\text{x}=90^\circ-2$
$\Rightarrow2\text{x}=88^\circ$
$\Rightarrow\text{x}=44^\circ$
Therefore, the angies are $44^\circ $ and $44^\circ + 2 =46^\circ $
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