If a ray stands on a line; then the sum of the adjacent angles so formed is `180^@`

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.

Fill in the blanks so as to make the following statements true: (i) If one angle of a linear pair is acute, then its other angle will be .......... (ii) A ray stands on a line, then the sum of the two adjacent angles so formed is .................. (iii) If the sum of two adjacent angles is 180^0, then the ............ arms of the two angles are opposite rays.

In a rhombus, the sum of adjacent angles is

The sum of adjacent angles of a parallelogram is

The sum of the three angles of a triangle is 180^(@)

Prove that the sum of the three angles of a triangle is 180^(@).

In a parallelogram the sum of any two adjacent angles is 180^(@) .

If the sides of a triangle are produced in order, then the sum of the three exterior angles so formed is 90^(0)(b)180^(@)(c)270^(0)(d)360^(@)

If the sides of a triangle are produced in an order, show that the sum of the exterior angles so formed is 360°.