Mathematics

# Measure (in degree) of two supplementary angles are consecutive odd integers. Find the angles.

##### SOLUTION
Let one angle be $2y+1$ and other angle be $2y+3$
As we know sum of supplementary angle is $180$ degrees.
$ACQ,$
$\Rightarrow 2y+1+2y+3=180^o$
$\Rightarrow 4y+4=180^o$
$\Rightarrow 4y=180^o - 4^o$
$\Rightarrow y=\dfrac{176^o}{4}$
$\Rightarrow y=4^o$
$\therefore 2 \times y+1=3 \times 44^o+1=89^o$
$\Rightarrow$ and $2y+3=2 times 44^o +3=91^o$
Therefore, one angle is $89$ degrees and other is $91$ degrees.

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Subjective Medium Published on 09th 09, 2020
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