Question

Aflati masurile A4 , unghiurilor formate in jurul unui punct si notate ABCD stiind ca :2A=3B=4C=6D

Answer 1

$A+B+C+D=360\textdegree$

$2A=3B=4C=6D=k$

$2A=k=\textgreater A=\frac{k}{2}$

$3B=k =\textgreater B=\frac{k}{3}$

$4C=k =\textgreater C=\frac{k}{4}$

$6D=k =\textgreater D=\frac{k}{6}$

$\frac{k}{2}+\frac{k}{3}+\frac{k}{4}+\frac{k}{6}=360\textdegree$

$\frac{6k+4k+3k+2k}{12}=360\textdegree$

$\frac{15k}{12}=360\textdegree$

$k=\frac{360\textdegree*12}{15}=288\textdegree$

$A=\frac{k}{2}=144\textdegree$

$B=\frac{k}{3}=96\textdegree$

$C=\frac{k}{4}=72\textdegree$

$D=\frac{k}{6}=48\textdegree$