Mathematics

If $$\left(2x-14\right)$$ and $$11\left( x+7 \right)$$ are supplementary angles then find the angles.


SOLUTION
$$2x-14+11(x+7)=180^o$$ ($$\because$$ linear pair)

$$2x-14+11x+77=180^o$$

$$13x=180-63=117$$

$$\therefore x=\dfrac{117}{13}=9^o$$

$$\therefore 2x-14=18-14=4^o$$

$$11(x+7)=11(9+7)=176^o$$

The angles are $$4^o$$ and $$176^o$$.
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