Q.3 Diagonals AC and BD of parallelogram ABCD intersect at O. If _ <BOC = 90° and <BDC = 50°, find <OAB.
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Answer:
Given:-
Angle BOC= 90°
Angle BDC= 50°
Step-by-step explanation:
Angle BOC+ angle BOA= 180° (Liner pair)
90°+Angle BOA= 180°
Angle BOA= 180°-90°= 90°
Angle BDC= Angle DBA= 50°(Opposite angle equal)
Now In triangle OAB,
Angle OAB + Angle AOB + Angle OBA= 180° (Angle sum property of triangle)
Angle OAB+ 90°+50°= 180°
Angle OAB = 180°-140°
Angle OAB= 40°
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