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Ca0thebleigso5pier
Ca0thebleigso5pier Ca0thebleigso5pier
  • 23-07-2016
  • Mathematics
Answered

In parallelogram ABCD, m∠BAC = 40.62°and m∠BCA = 30.96°. What is m∠BAD?

A108.42°
B81.24°
C71.58°
D61.92°

Verified Answer :

Anonymous Anonymous
  • 27-07-2016

The answer is letter a.  m∠BAD = 108.42° 

The solution is as follows:
If 
m∠BAC = 40.62° and m∠BCA = 30.96°, then
m∠CBA = 180° -  m∠BCA - m∠BAC
m∠CBA = 108.42°

Since m∠BAD = m∠CBA  due to the parallelogram's property, 
m∠BAD = 108.42°.

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