Question

in a parallelogram ABCD if equals to 125 degree find the value of x and y

Answer 1

IF ANGLE ABC = 125° , THEN ANGLE ADC WILL ALSO BE 125°
AS IN PARALLELOGRAM OPPOSITE ANGLE ARE EQUAL.
ANGLE ABC + ANGLE ADC = 125 + 125 = 250. ALSO THE SUM OF ALL ANGLES OF A QUADRILATERAL IS 360°.
HENCE ANGLE DAB + ANGLE DCB = 110°.
AND ANGLE DAB = DCA ( OPPOSITE ANGLE OF A PARALLELOGRAM.
HENCE ANGLE DAB = 55°
AND ANGLE DCB = 55°

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