Question

ABCD is a parallelogram. Find the value of angles x,y & z with small steps showing the reasons. *
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Answer 1

Answer:

since angle ABD, DBC, CBE are on a straight line, then

50+x+70=180 ( sum of angles on a straight line is equal to 180)

120+x=180

x=180-120

x=60

Since AD Is parellel to BC and BD is a transversal

then angle y= angle x= 60 (alternate angles)

also angle z= angle CBE=70 ( alternate angles)