in figure if angle AOD=135*,then find angle BOC
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57
Answer:
45 degree
Step-by-step explanation:
Given: in figure if angle AOD=135*,then find angle BOC .
The quadrilateral ABCD is outside the circle with centre o.
The opposite sides of a quadrilateral subtend supplementary angle at the centre.
Two angles are supplementary when both angles add up to 180 degree.
From this theorem we get
angle BOC + angle AOD = 180
BOC + 135 = 180
BOC = 180 - 135
Angle BOC = 45 degree
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0
AOD+BOC=180 [OPPOSITE SIDES OF A QUAD CIRCUMSCRIBING A CIRCLE SUBTEND SUPPLEMENTARY ANGLES AT THE CENTRE]
THEREFORE
135+BOC=180
BOC=45
Hope u understood
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