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General
Easy

Question

The diagonals of a Rectangle ABCD meet at O. If angle B O C equals 44 to the power of ring operator end exponent blank t h e n blank angle O A D equals

  1. 136º    
  2. 68º    
  3. 34º    
  4. none of these    

The correct answer is: 68º


    To find angle O A D

    We have
    BOC+BOA=180o [Linear pairs]


    44+BOA=180

    BOA=136
    Since diagonals of a rectangle are equal and they bisect each other. 
     
    Therefore, in ΔOAB, We have
    OA=OB
    1=2[ Angle opp. to equal sides are equal]

    In ΔOAB, we have
    1+2+BOA=180
    21+136=180
    21=44

    1=22

    Since each angle of a rectangle is a right angle.
    BAD=90

    1+3=90
    22+3=90

    3=68

    Hence, OAD=68

    Hence option 2 is correct

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