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ex 1 va rog e urgent dau coroana

Ex 1 Va Rog E Urgent Dau Coroana class=

Răspuns :

sunt doua perechi de unghiuri opuse la varf:a) 2 si 4; 3 si 1;
b)∡2 op la v. cu∡4⇒∡2≡∡4⇒m(∡2)=m(∡4)=54°
  m(∡1)+m(∡2)+m(∡3)+m(∡4)=360°
 2m(∡1)+2m(∡2)=360°
 2m(∡1)+2×54°=360°
2m(∡1)=360°-108°
2m(∡1)=252°
m(∡1)=252°:2=126°
c)∡1≡∡2⇒∡1≡∡2≡∡3≡∡4⇒m∡(1)=360°:4=90°