Question

Un trapez ABCD are masurile unghiurilor invers proportionale cu numerele: 0.1(6) ; 0.125; 0.25; si 0.1(6). Aflati unghiurile

Answer 1

0 , 1 ( 6 ) = 1 (  16 - 1  ) / 90 = 15 / 90 = 1 / 6

0 , 125 = 125 / 1000 = 1 / 8

0 , 25 = 25 / 100 = 1 / 4

0 , 1 ( 6 ) = 1 ( 16 - 1 ) / 90 = 15 / 90 = 1 / 6

{ a , b , c , d } i . p { 1 / 6 ; 1 / 8 ; 1 / 4 ; 1 / 6 }

1 / 6a = K => a = 6 K

1 / 8b = K => b = 8 K

1 / 4c = K => c = 4 K

1 / 6d = K => d = 6 K

6 K + 8 K + 4 K + 6 K = 360 °

14 K  + 4 K + 6 K  = 360 °

18 K + 6 K = 360 °

24 K = 360 °

K = 360 ° : 24

K = 15

a = 15 · 6 = 90 °

b = 15 · 8 = 120 °

c = 15 · 4 = 60 °

d = 15 · 6 = 90 °