Question

Va rog, ajutati-ma!!

In figura 6, AB || DE si 2 x unghiul ABK = 3 x unghiul BEF

Calculati masurile unghiurilor DEL si CBK.

Answer 1

2abk=3bef=>abk=3bef/2

Abk=fel (alterne externe)

Fel=3bef/2

Bef+fel=180grade

Bef+3bef/2 =180 grade (aduc la acelasi numitor)

2bef/2+3bef/2=180 grade

5bef/2=180 grade

Bef=2*180/5=>bef=2*36=>bef=72grade

Fel=3bef/2=>fel=3*72/2=>fel=3*36=>fel=108grade

Acum del=bef (sunt unghiuri in jurul unui punct).

Deci del=72 grade

Cbk=del sunt unghiuri alterne externe=>cbk=72 grade

Sau cbk=ebf=72 grade