Question

hey please solve this in a parallelogram abcd as shown find a b c d

Answer 1

Given: ABCD is a parallelogram.
so, AB II CD
AD II BC

To Find: m .angle a, angle b, angle c , angle d
solution
As per given information,
angle with 75 degree = angle DAB
.......... CORRESPONDING ANGLES OF PARALLEL LINES.
also,
angle DCB = 75 DEGREES.....OPPOSITE ANGLES OF PARALLELOGRAM ARE CONGRUENT
Now, angle ADC + ANGLE DCB = 180DEGREE
........Interior(adjacent) angles of paralleogram
So,
ANGLE ADC + 75DEGREE = 180 DEGREE
SO,
ANGLE ADC = 180-75=105 DEGREE.
ALSO ,
ANGLE ABC =105 DEGREE.
SO
ANG.A =75 D.
ANG.B = 105 D.
ANG.C = 75D.
ANG D = 105D.




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