Question

In figure AB parallel to CD the value of X is if one angle is 140° another is 35°

Answer 1

Answer:

x = 35 degree because x and 35 is alternate interior angle and alternate interior angle is equal

Answer 2

Given,

• AB||CD

• Angles 35° and 140° are given in the diagram.

To find,

Value of x.

Solution,

Let us construct a line parallel to AB and CD such that it cuts the angle x. Let that point be O.

Name the point corresponding to 140° be P and that corresponding to 35° be Q.

Now, CD is parallel to the newly constructed line. Alternate angle to the 35° angle contributes to the value of x.

x1 = 35°

For line AB and the newly constructed line,

Another component of angle x + 140° will be equal to 180°.

[ opposite interior angle sum ]  

Another component = 40° i.e x2 = 40°

Angle x will be equal to sum of both angles contributing to the value of x.

Mathematically,

x = x1 + x2

x = 35° + 40° = 75°

Therefore, the value of x is 75°