f OD is perpendicular to AB, and ∠DOC = 25°, find ∠BOC - ∠AOC. 25° 65° 115° 50°
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Answer:
From the figure we know that ∠AOC and∠AOD from a linear pair
It can also be written as
∠AOC+∠AOD=180
o
By substituting the values
50
o
+∠AOD=180
o
∠AOD=180
o
−50
o
∠AOD=130
o
According to the figure we know that ∠AOD and ∠BOC are vertically opposite angles
So we get
∠AOD=∠BOC=180
o
According to the figure we know that ∠AOC and ∠BOD are vertically opposite angles
So we get
∠AOC+∠BOD=50
o
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