Question

1)patrulaterul(un patrat mic scris in naitea lui Abcd) ABCD- patr. convex
A,B,C,D. d.p. 2;5;7;10
m unghiului A,B,C,D= ?
2) patrulaterul ABCD- convex
A,B,C,D d.p. 1;2;3;4
m unghiului A,B,C,D=?
3) patrulaterul ABCD-convex
m (unghiului B)=75 de grade
A,C,D i.p. 0,1(6); 0,25; 0,1(1)
m unghiului A,C,D=?
Va rog tare mult sa ma ajutati, va rog!

Answer 1

1)
a=2k
b=5k
c=7k
d=10k
a+b+c+d=360⁰
2k+5k+7k+10k=360⁰
24k=360⁰
k=15⁰
a=2k=2*15⁰=30⁰
b=5k=*15⁰=75⁰
c=7k=7*15⁰=105⁰
d=10k=10*15⁰=150⁰


2)
a=k
b=2k
c=3k
d=4k
a+b+c+d=360⁰
k+2k+3k+4k=360⁰
10k=360⁰
k=36⁰
a=k=1*36⁰=36⁰
b=2k=2*36⁰=72⁰
c=3k=3*36⁰=108⁰
d=4k=4*36⁰=144⁰


3)m (< B)=75⁰
1,(6)=(16-1)/90=15/90=1/6
0,25=25/100=1/4
0,1(1)=(11-1)/90=10/90=1/9
a/6=k    a=6k
c/4=k   c=4k
d/9=k   d=9k
a+c+d=360⁰-75⁰
a+c+d=285⁰
6k+4k+9k=285⁰
19k=285⁰
k=15⁰
a=6k=6*15⁰=90⁰
c=4k=4*15⁰=60⁰
d=9*15⁰=135⁰