Question

Se da cubul : ABCDA'B'C'D

Gasiti masura unghiurilor formate de dreptele :
a) AA' si BB'
b) DC si CD
c) AB si BC
d) DC si A'B
e) AB si A'D'
f) BC' si B'C
g) A'B, AB
h) BC',AC
i) A'C' , BC

Answer 1

AA' || BB' = 0 grade
DC =CD => m ( DC ; CD ) = 0 grade
m ( AB ; BC ) = m ( ABC ) = 90 grade
DC || AB => m(DC ;A'B ) = m ( AB ; A'B ) = m ( A'BA ) = 45 grade
AB || A'B' => m ( AB ; A'D' ) = m ( A'B' ; A'D' ) = m (B'A'D' ) = 90 grade
BC' ; B'C - diagonale = 90 grade
m ( A'B ; AB ) = m ( A'BA ) = 45 grade
BC ' ; AC = 0 grade
BC || B'C' => m ( A'C' ; BC ) = m ( A'C' ; B'C' ) = m ( A'C'B' ) = 45 grade
Sper ca te-am ajutat !