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zad 20
a) 180-121=59
180-35=155
180-132=44
180-90=90
b)
180-(76+22)=180-98=82
180-(86+58)=180-144=36
180-(10+45+45)=180-100=80
180-(42+40+28)=180-110=70
c)
180-102=78 78:2=39
B+B+124=180
2b+124=180
2b=180-124
2b=56
b=28
4y+6y=180
10y=180
y=18
4y=4*18=72
6y=6*18=108
2g+3g+45+g+g-5=180
7g+40=180
7g=180-40
7g=120
g=20
2g=40
3g+45=105
g-5=15
zad 19
a)alfa z beta, gamma z delta, gamma z alfa, beta z delta
b) alfa z delta, gamma z beta
zad 21
B=123
alfa i gamma =180-123=57
delta= 30
alfa=60
gamma=60
beta=90
alfa=110
delta=40
gamma i beta=30
zad 22
a=360-70=290
B=360-330=30
gamma=360-110=250
delta=180-75=115
zad 14
A)b=50
a=90
B)180-90=90 90:2=45
C)5a=180 a=180:5=36
zad 15
a) a=360-250=110
b)360-80=280
c)3gamma=360 gamma=360:3=120
zad 23
a) a=180-37=143
b=180-48=132
gamma=28
180-143=37
a=18
b=145
delta=78
gamma=169
Zamiast alfa, beta itd. bd ci wpisywała a, b, c, d po kolei.
20.
a)a=69°
b=145°
c=48°
d=90°
b)a=82°
b=36°
c=80°
d=70°
a=49°
b=28°
4y= 72° 6y 108°
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zad 20
a) 180-121=59
180-35=155
180-132=44
180-90=90
b)
180-(76+22)=180-98=82
180-(86+58)=180-144=36
180-(10+45+45)=180-100=80
180-(42+40+28)=180-110=70
c)
180-102=78 78:2=39
B+B+124=180
2b+124=180
2b=180-124
2b=56
b=28
4y+6y=180
10y=180
y=18
4y=4*18=72
6y=6*18=108
2g+3g+45+g+g-5=180
7g+40=180
7g=180-40
7g=120
g=20
2g=40
3g+45=105
g-5=15
zad 19
a)alfa z beta, gamma z delta, gamma z alfa, beta z delta
b) alfa z delta, gamma z beta
zad 21
B=123
alfa i gamma =180-123=57
delta= 30
alfa=60
gamma=60
beta=90
alfa=110
delta=40
gamma i beta=30
zad 22
a=360-70=290
B=360-330=30
gamma=360-110=250
delta=180-75=115
zad 14
A)b=50
a=90
B)180-90=90 90:2=45
C)5a=180 a=180:5=36
zad 15
a) a=360-250=110
b)360-80=280
c)3gamma=360 gamma=360:3=120
zad 23
a) a=180-37=143
b=180-48=132
gamma=28
180-143=37
b)
a=18
b=145
delta=78
gamma=169
Zamiast alfa, beta itd. bd ci wpisywała a, b, c, d po kolei.
20.
a)a=69°
b=145°
c=48°
d=90°
b)a=82°
b=36°
c=80°
d=70°
c)
a=49°
b=28°
4y= 72° 6y 108°
zad 21
B=123
alfa i gamma =180-123=57
delta= 30
alfa=60
gamma=60
beta=90
alfa=110
delta=40
gamma i beta=30
zad 22
a=360-70=290
B=360-330=30
gamma=360-110=250
delta=180-75=115
zad 14
A)b=50
a=90
B)180-90=90 90:2=45
C)5a=180 a=180:5=36
zad 15
a) a=360-250=110
b)360-80=280
c)3gamma=360 gamma=360:3=120
zad 23
a) a=180-37=143
b=180-48=132
gamma=28
180-143=37
b)
a=18
b=145
delta=78
gamma=169