Question

Perhatikan gambar! diketahui: sudut AOE=150°.Sudut BED=35°, maka sudut ACE=
tolong dijawab plis

Answer 1

Diketahui:

AOE = 150°

BED = 35°

Ditanyakan:

ACE

Jawab:

AOE = 150° -> sudut pusat.

karena ADE dan EBA sudut keliling dari busur yg sama, maka:

ADE = EBA = 1/2. 150° = 75°

DFE+BED+ADE = 180°

DFE+35°+75° = 180°

DFE+110° = 180°

DFE = 180°-110°

DFE = 70°

karena BFA dan DFE sudut yg saling berlawanan, maka:

BFA = DFE = 70°

FAB+BFA+EBA = 180°

FAB+70°+75° = 180°

FAB+145° = 180°

FAB = 180°-145°

FAB = 35°

ADC+ADE = 180°

ADC+75° = 180°

ADC = 180°-75°

ADC = 105°

ACE+ADC+FAB = 180°

ACE+105°+35° = 180°

ACE+140° = 180°

ACE = 180°-140°

ACE = 40° (A)

Mapel: Matematika

Kelas: 8

Materi: Lingkaran