Question

In figure, AB || CD, the value of x is:
(a) 35°
(3 40°
(c) 60°
(d) 75°
A
B.
140°
Ox
35°
C
D​

Answer 1

The value of X is 75°. Thus, option (d) is correct.


Solution:

By drawing a line EF which is parallel to AB and CD.

Thus, AB || EF

→ Now Angle at EF = 180° - 140° = 40°

As we know: { Angle between parallel lines on same sides are supplementry. }

now, EF || CB .

So,

→ Angle at EF = 35° { Alternate angles .}

therefore,

→ x = 40° + 35° = 75°


Thus, option (d) is correct.

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Answer 2

Answer:

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