Question
In kite ABCD, find the measure of ∠OAB.
- 122°
- 32°
- 50°
- 148°
Hint:
The diagonals of a kite bisect perpendicularly.
The correct answer is: 50°
From the above figure
ABO = 40
AOB = 90 (The diagonals of a kite bisect perpendicularly.)So, In 
AOB∠AOB + ∠ABO + ∠OAB = 180° [Angle sum property]∠OAB = 180° - 90° - 40°
∠OAB = 50°
Thus, the measure of ∠OAB = 50°
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