Question

8. Find x in each of the following.
75degree 40 degree x ​

Answer 1

∵AB∥CD and BD is transversal.

∴x=40°(Alternate angles)

Now in △ABD

75°+y+x=180°(Sum of interior angles of a triangle)

⇒y=180°−75°−40°=180°−115°=65°

Now in △BCD

40°+(y−30°)+z=180°(Sum of interior angles of a triangle)

∴z=180°−40°−35°=180°−75°=105°

Answer 2

Answer:

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