If two lines intersect each other, then the vertically opposite angles are equal.

Read the following two statements which are taken as axiom: (i) If two lines intersect each other , then the vertically opposite angles are not equal. (ii) If a ray stands on a line , then the sum of two adjacent angles, so formed is equal to 180^(@) . Is this system of axioms consistent ? Justify your answer.

If two lines intersect at a point, then the vertically opposite angles are always.......

Fill in the blanks: (i) If two angles are complementary, then the sum of their measures is _______. (ii) If two angles are supplementary, then the sum of their measures is ______. (iii) Two angles forming a linear pair are _______________. (iv) If two adjacent angles are supplementary, they form a ___________. (v) If two lines intersect at a point, then the vertically opposite angles are always _____________. (vi) If two lines intersect at a point, and if one pair of vertically opposite angles are acute angles, then the other pair of vertically opposite angles are __________.

Prove that vertically opposite angles are equal.

If two lines intersect each other, then prove that the vertically opposite angles are equal.

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

Fill in the blanks: If two lines intersect at a point, then the vertically opposite angles are always_____________.

Fill in the blanks: If two lines intersect at a point, then the vertically opposite angles are always___________.

Fill in the blanks:(i) If two angles are complementary, then the sum of their measures is _______.(ii) If two angles are supplementary, then the sum of their measures is ______.(iii) Two angles forming a linear pair are _______________.(iv) If two adjacent angles are supplementary, they form a ___________.(v) If two lines intersect at a point, then the vertically opposite angles are always_____________.(vi) If two lines intersect at a point, and if one pair of vertically opposite angles areacute angles, then the other pair of vertically opposite angles are __________.

If two lines intersect prove that the vertically opposite angles are equal