Răspuns:
Explicație pas cu pas:
1)
∡AOB+∡BOC=160°
3∡BOC+∡BOC= 160°
4∡BOC= 160°
∡BOC=160:4
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∡BOC= 40 °
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∡AOB= 3*40
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∡AOB= 120 °
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2)
∡AOB+∡BOC= 100°
∡AOB+4∡AOB= 100°
5∡AOB= 100°
∡AOB= 100:5
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∡AOB= 20 °
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∡BOC= 4*20
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∡BOC= 80 °
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3)
∡AOB+ ∡BOC= 150
∡BOC+10+∡BOC= 150
∡BOC+∡BOC= 150-10
2∡BOC= 140
∡BOC= 140:2
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∡BOC= 70°
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∡AOB= 70+10
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∡AOB= 80 °
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4)
∡AOB+∡BOC=110°
∡BOC-30+∡BOC= 110°
∡BOC+∡BOC= 110+30
2∡BOC=140°
∡BOC= 140:2
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∡BOC= 70 °
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∡AOB= 70-30
∡AOB= 40 °