Question

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

Answer 1

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

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

$13x=180-63=117$

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

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

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

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