Vertically Opposite Angles

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 __________.

Vertically oppposite angles

If two straight lines intersect each other,prove that the ray opposite to the bisector of one of the angles thus formed bisects the vertically opposite angle.

In the adjoining figure: (i) Is ?1 adjacent to ?2? (ii) Is ? And ?EOD form a linear pair? (iv) Are ? AOC adjacent to ?AOE? (iii) Do ?COE BOD and ?DOA supplementary? (v) Is ?1 vertically opposite to ?4? (vi) What is the vertically opposite angle of ?5?

Angles which are both supplementary and vertically opposite are

Point OF angle || Adjacent angle || Linear pair OF angle || Vertical-opposite angle|| Transversal lines Corresponding angle|| Alternate Interior angle || Co-interior|| Exterior angle || Example discussion

Interior opposite angles

In a quadrilateral, define each of the following: Sides (ii) Vertices (iii) Angles Diagonals (v) Adjacent angles Opposite Sides (vii) Opposite sides Opposite angles (ix) Interior (x) Exterior

If the exterior angle of a triangle is 130° and its interior opposite angles are equal, then measure of each interior opposite angle is

Assertion : Two opposite angles of a parallelogram are (3x-2)^(@) and (50 - x)^(@) . The measure of one of the angle is 37^(@) . Reason : Opposite angles of a parallelogram are equal