Question

Statements a and b are as given below:

a: If two lines intersect, then the vertically opposite angles are equal.

b: If a transversal intersects, two other lines, then the sum of two interior angles on the same side of the transversal is 180°.

Then ______.

Options

• both a and b are true

• a is true and b is false

• a is false and b is true

• both a and b are false

Answer 1

a is true and b is false.

Explanation:

Statement I

If lines l and m intersect each other, then x and y are known as vertically opposite angles. The vertically opposite angles so formed are equal.

∴ x = y

Statement II

If two lines l and m are intersected by a transversal P, then the sum of two interior angles will be 180°, only if l and m are parallel.