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In the given figure, AB || DC and AB || DC and AC is a diagonal. If $∠ B A C = 35 o, ∠ C A D = 40 o, ∠ A C B = x o$ and $∠ A C D = y o,$ the values of x and y are:

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x =

45 o

and y =

35 o

x =

40 o

and y =

35 o

x =

40 o

and y =

30 o

x =

40 o

and y =

45 o

answer is B.

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Detailed Solution

Given a figure as follows,
Question Image

Since DC || AB, y and

∠ 35 o

are alternate interior angles, so
y =

35 o

.
Now AD || BC, x and

∠ 40 o

are alternate interior angles, so
x =

40 o

.
Therefore, x =

40 o

and y =

35 o

.
Hence, option 2 is correct.

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In the given figure, AB || DC and AB || DC and AC is a diagonal. If ∠BAC= 35 o ,∠CAD= 40 o ,∠ACB= x o and ∠ACD= y o , the values of x and y are:

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In the given figure, AB || DC and AB || DC and AC is a diagonal. If $∠ B A C = 35 o, ∠ C A D = 40 o, ∠ A C B = x o$ and $∠ A C D = y o,$ the values of x and y are: