Odpowiedź:
a)
[tex]\alpha = 60[/tex]
[tex]\alpha = \gamma\\\gamma = 60[/tex]
[tex]\alpha + \beta = 180\\60 + \beta = 180 /-60\\\beta = 120[/tex]
[tex]\beta = \delta\\\delta = 120[/tex]
Odp. [tex]\alpha = 60, \beta = 120, \gamma = 60, \delta = 180[/tex]
b)
[tex]\delta=35\\\delta+\alpha=180\\35+\alpha=180 /-35\\\alpha=145\\\beta+125+\alpha+35=360\\\beta+125+145+35=360\\\beta+305=360 /-305\\\beta=55\\\beta=\gamma\\\gamma=55[/tex]
Odp. [tex]\alpha=145, \beta=55, \gamma=55, \delta=35[/tex]
c)
[tex]\alpha+\beta+77=180\\\alpha+\beta=180-77\\\alpha+\beta=103\\\alpha+\beta=\delta\\\delta=103\\33+\gamma=180 /-33\\\gamma=147\\\alpha=33\\33+\beta=103 /-33\\\beta=70[/tex]
Odp. [tex]\alpha=33, \beta=70, \gamma=147, \delta=103[/tex]
d)
[tex]44+68+\alpha=180\\112+\alpha=180 /-112\\\alpha=68\\44+\delta=180 /-44\\\delta=136\\\beta=68\\\gamma+\beta=180\\\gamma+68=180/-68\\\gamma=112[/tex]
Odp. [tex]\alpha=68, \beta=68, \gamma=112, \delta=136[/tex]
Szczegółowe wyjaśnienie:
Nie "jakis znaczek" tylko katy maja oznaczenia:
[tex]\alpha = \text{alfa}\\\beta = \text{beta}\\\gamma = \text{gamma}\\\delta = \text{delta}[/tex]
