Question

Un trapez ABCD are masurile unghiurilor invers proportionale cj nr. 0,1(6) ;0,125 ;0,25 si 0,1(6).Determinati masurile ungiurilor trapezului ABCD

Answer 1

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

a=6b/8=3b/4
c=4b/8=2b/4
d=6b/8=3b/4
3b/4+b+2b/4+3b/4=360°
3b+4b+2b+3b=1440°
12b=1440°
b=120°
a=90°
c=60°
d=90°