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 .
is true and is false
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 .
When two lines intersect then the vertically opposite angles are always equal. When a transversal intersects, two other lines, then the sum of two interior angles on the same side of the transversal is if and only if the two lines are parallel. The pair of angles are called as co-interior angles.
Hence, statement is true and is false, the B option is the correct answer.