Question

in the figure ab is parallel to cd. find the value of x.​

Answer 1

Answer:

250 degree

Step-by-step explanation:

attachment given below

construction; draw straight line MN parallel to AB abd CD

∡BMN=∡ABM.....(ALTERNATE ANGLE)

∡BMN=35

∡CDM=∡DMN.......(ALTERNATE ANGLE)

∡DMN=75

∡BMN+∡DMN+x=360......(REFLEX ANGLE)

35+75+x=360

or,x=250 degree

Answer 2

draw a line PQ through point "M", such that PQ||AB||CD.

Then ab||PQ and bm is the transversal. so, angle abm= angle bmp(alternate interior angle). so, angle bmp = 35°.

Similarly, angle dmp = 75°.

angle bmp + angle dmp = 35°+75°=110°.

so, angle x = 360°-110°=250°