3 years ago

In angle abc , m angle A =x , m angle B =2x+2, m angle C = 3x+4.what is value x

Mathematics

1 answer:

Morgarella [4.7K]3 years ago

8 0

A + B + C = 180
x + 2x + 2 + 3x + 4 = 180
6x + 6 = 180
6x = 174
x = 29

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L = total number of slices for Luke

K = total number of slices for Kira

A = total number of slices for Ali

$\stackrel{\textit{two thirds of all slices}}{\cfrac{2}{3}L}=4\implies 2L=12\implies L=\cfrac{12}{2}\implies L=6 \\\\\\ \stackrel{\textit{two thirds of all slices}}{\cfrac{2}{3}K}=6\implies 2K=18\implies K=\cfrac{18}{2}\implies K=9 \\\\\\ \stackrel{\textit{two thirds of all slices}}{\cfrac{2}{3}A}=8\implies 2A=24\implies A=\cfrac{24}{2}\implies A=12$