Question

ABCD-paralelogram m ung B=4x+15° iar mung D=6x-27°aflati mas ung A B C D

Answer 1

A congruent cu C
B congruent cu D
( unghiuri opuse )
B = 4x +15°
D = 6x - 27°
A+B+C+D = 360°
4x+15°+4x+15° + 6x-27° +6x -27° = 360°
8x + 30° + 12x-54° = 360°
20x+ 30° - 54° = 360°
20x = 360° -30°+54°
20x = 384 °
x= 384° :20
x= 380° 60' 180" :20
x= 19° 3' 9"

A = 4× 19° 3' 9" +15°
A= 76° 12' 36" +15
A= 91 ° 12' 36"
C = 91 ° 12' 36"

B = 6× 19° 3' 9" -27°
B= 114 ° 18' 54" -27 °
B= 87° 18' 54"
D = 87° 18' 54"

Verificare :
A+C= 91° 12' 36" × 2
A+C = 182 ° 24' 72"
A+C = 182° 25' 12"
B+D = 87° 18' 54" ×2
B+D = 174° 36' 108"
B+D = 174 °37' 48"
A+B+C+D =
182° 25' 12" + 174° 37' 48" = 356° 62' 60" = 356° 63' = 359° 60' = 360°