The diagonals of rectangle ABCD intersects at O. If angle AOB = 64°, find angle OCB.
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Hope this helps..
Answer is 116 degree. ..
angle C = angle B =90° [ corner angles of a rectangle is 90°]
1/2 angle C = 1/2 angel B
Angle OCB= angle OBC ---------(1)
In ∆ OBC
angle OBC +angle OCB +angle BOC=180°
Angle OCB+angle OCB + 116° = 180° [from eq 1]
2angle OCB = 180°-116°
2angle OCB = 64°
Angle OCB = 64°/2
angle OCB = 32°
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prachippandey2005:
Answer is 32°...
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