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Answer:X= 280
Step-by-step explanation:
DRAW A IMAGINARY LINE L PASSING IN SUCH A WAY THAT IT PARALLEL TO AB AND IT PASSING FROM WHERE THE TWO TRANSVERSAL MEET.
AB || LINE L
HENCE AS PER QUE. AB || CD
SO, CD || LINE L ALSO
AS AB|| LINE L ,(LET THE HALF OF ANGLE X BE 3)
ANGLE 3 + 55 = 180 (INTERIOR ANGLE ON THE SAME SIDE OF THE TRANSVERSAL).
ANGLE 3 = 180-55 = 135
NOW S CD || LINE L, (LET THE ANOTHER HALF OF THE ANGLE BE 4)
ANGLE 4 + 30 = 180(INTERIOR ANGLE ON THE SAME SIDE IF THE TRANSVERSAL)
ANGLE 4 = 180-30 =150
ANGLE X = ANGLE 3 + 4
=135 + 150= 280.
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