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youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank youthank 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a)Vì góc xOy và góc yOz là 2 góc kề bù
suy ra:xOy +yOz =180\(^0\)
thay xOy =60\(^0\) có:
60 \(^0\)+yOz =180\(^0\)
yOz =180\(^0\)-60\(^0\)
yOz =120\(^0\)
Vậy yOz=120\(^0\)
b)Vì Ot là tia phân giác của góc xOy
suy ra:xOt=tOy=xOy:2=60\(^0\):2=30\(^0\)(thay xOy=60\(^0\))
Vì Oy nằm giữa 2 tia Ot và Oz
suy ra:tOy+yOz=zOt
thay tOy=30\(^0\);yOz=120\(^0\)
30\(^0\)+120\(^0\) =zOt
150\(^0\) =zOt
Vậy zOt= 150\(^0\)
Ta có: ∠yOz + ∠xOy = 180\(^0\) ( hai góc kề bù )
∠yOz + 60\(^0\) = 180\(^0\)
∠yOz = 120\(^0\) (1)
Ta có: ∠yOt = \(\dfrac{60^0}{2}\) = \(30^0\) ( vì Ot là phân giác ∠xOy ) (2)
TỪ (1) VÀ (2)
⇒ ∠yOz + ∠yOt = ∠zOt
120\(^0\) + \(30^0\) = ∠zOt
\(150^0\)= ∠zOt
Vậy ∠zOt = \(150^0\)