Question

Patru unghiuri formate in jurul unui punct, ∡A ∡B ∡C si ∡D ,respecta relatia:
m(∡A)/7 = m(∡B)/9 = m(∡C)/11 = m(∡D)/13 . Care este masura celui mai mare unghi?

Answer 1

o sa notez a,b,c si d unghiurile
a/7=b/9=c/11=d/13
b=9a/7
c=11a/7
d=13a/7
a+9a/7+11a/7+13a/7=360⁰
7a+9a+11a+13a=2520⁰
40a=2520⁰
a=63⁰
b=9×63⁰/7=81⁰
c=11×63⁰/7=99⁰
d=13×63⁰/7=117⁰

Answer 2

eu pun puntele m,n,o,p,

n=9m /7

o=11m.7

p=13m/7

m+9m/7+11m/7+13m/7=360 de grade

40m

m=63 de grade

o=11 ori 63 de grade/7 =99 de grade

n=9 ori 63 de grade/7=81 de grade

p=13 ori 63 de grade /7 =117 de grade