Question

calculati masurile unghiurilor nevunoscute din figurile urmatoare

Answer 1

masura unghiurilor in jurul unui punct este de 360°

a) 
∡x=360°-130°-68° 30'=161° 30' 

b) 
∡x+∡2x+∡3x+∡4x=360° 
∡10x=360° ⇒ ∡x=36° 

∡2x=2*36=72° 

∡3x=3*36=108°

∡4x=4*36=144° 

c) 
∡x=360°-90°-88°-63°=119°

d)
∡x+∡x+20°+∡x-10°+120°=360°
∡3x+20°-10°+120°=360°
∡3x+20°-10°=360°-120°
∡3x+20°-10°=240°
∡3x=240°+10°-20°
∡3x=230°
∡x=76° 40' 

∡x+20°=76° 40'+20°=96° 40'

∡x-10°=76° 40'-10°=66° 40'