ABCD is a parallelogram .Find the angle measure a,b and c. state the properties needed to find them
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As ABCD is a parallelogram AB || CD and AD || BC and opposite angles are equal .........
b = 35° [ alternate interior angles ]
b + c = 75° [ exterior angle is equal to sum of interior opposite angles]
c = 75 - 35
= 40°
a = 180 - 75 [ opposite angles of a parallelogram are equal ]
a = 105°
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Answer:
ABII DC
C+B =75 (exterior angle property )
B=35(alternate interior angle )
therefore ,C+35=75
C=75-35
C=40
A= 180 -75
A=105(opposite angles of parallelogram are equal).
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