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Question

The diagonals AC and BD of a parallelogram ABCD intersect each other at the point O.
If DAC=32o and AOB=70o, then DBC is equal to?

  1. 86o
  2. 24o
  3. 38o
  4. 32o

A
32o
B
24o
C
86o
D
38o
Solution
Verified by Toppr


In given figure,
Quadrilateral ABCD is a parallelogram.
So, AD || BC
DAC = ACB --- ( Alternate angle)
ACB = 32
AOB + BOC = 180 --- (straight angle)
70 + BOC = 180
BOC = 110
In BOC,
OBC + BOC + OCB = 180
OBC + 110 + 32 = 180
OBC = 38
DBC = 38

811314_77847_ans_96142b98a3ce4ba483472d0132b08820.png

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