[tex]\text {W zadaniu 11 sa to katy wierzcholkowe, dlatego maja taka sama miare}\\\text {jak kat o tym samym wierzcholku}[/tex]
[tex]\alpha =118^{\circ}\\\beta=63^{\circ}[/tex]
[tex]\text {W zadaniu 12 kat} \ \gamma \ \text {i kat} \ 70^{\circ} \ \text {maja lacznie} \ 180^{\circ}[/tex]
[tex]\gamma = 180^{\circ} - 70^{\circ}\\\gamma= 110^{\circ}\\\\\alpha=70^{\circ} \ \text {poniewaz} \ \alpha \ \text {i kat} \ 70^{\circ} \ \text {to katy wierzcholkowe}[/tex]
[tex]\beta =\gamma=110^{\circ}\ \text {poniewaz sa to katy wierzcholkowe}[/tex]
[tex]\text {W zadaniu 13 proste a i b sa rownolegle dlatego kat} \ \alpha \ \text {i} \ \beta \ \text {sa naprzemianlegle,} \\ \text {czyli maja rowna miare}\\[/tex]
[tex]\alpha =\beta =180^{\circ}-150^{\circ}=30^{\circ} \ \text {poniewaz kat} \ 150^{\circ} \ \text {i} \ \alpha \ \text {maja lacznie} \ 180^{\circ}\\\alpha = 30^{\circ}\\\beta =30^{\circ}[/tex]
[tex]\text {Zadanie 14}[/tex]
[tex]\beta =127^{\circ} \ \text {poniewaz sa to katy wierzcholkowe}\\\alpha = 180^{\circ}-127^{\circ}=53^{\circ} \ \text {poniewaz kat} \ \alpha \ \text {i} \ 127^{\circ} \ \text {maja lacznie} \ 180^{\circ}\\\gamma = 180^{\circ}-127^{\circ}-42^{\circ}=11^{\circ}[/tex]
