Question

in the figure ab is parallel to CD angle abm is equal to 40 degree and angle RMO = 100 degree ,find the value of X and y​

Answer 1

Answer:

x=40°&y=40°

Step-by-step explanation:

lineAB parallel to line CD and BM is transversal

therefore angle ABM=angleBMD

......alternate angle

hence angle BMD= 40°

and angle BMD= angle CMO

...........vertically opposite angles

hence angle CMO=y=40°

now

angle CMO+angle RMO+angleDMR

=180°

......linear pair angles

hence

40°+100°+x=180°....(DMR=x)

140°+ x=180°

x=180°-140°=40°