The measure of three angles of a triangle are in the ratio 4: 5: 6, find the measure of each

4n+5n+6n=180

4+5+6=15n

180/15=12

4×12=48

5×12=60

6×12=72

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft

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