Question
Measures (in degrees) of two supplementary angles are consecutive odd integers. Find the angles.
✓
Answer
Let two consecutive odd integers $x, x + 2.$
It is given that both are supplementary angles.
So, their sum will be $180^\circ .$
$\therefore \text{x}+(\text{x}+2)=180^\circ$
$\Rightarrow2\text{x}=180^\circ-2$
$\Rightarrow2\text{x}=178^\circ=\frac{178^\circ}{2}$
$\Rightarrow\text{x}=89^\circ$
Hence, the two angles are $89^\circ $ and $91^\circ .$
It is given that both are supplementary angles.
So, their sum will be $180^\circ .$
$\therefore \text{x}+(\text{x}+2)=180^\circ$
$\Rightarrow2\text{x}=180^\circ-2$
$\Rightarrow2\text{x}=178^\circ=\frac{178^\circ}{2}$
$\Rightarrow\text{x}=89^\circ$
Hence, the two angles are $89^\circ $ and $91^\circ .$
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