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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