Ve dily one activity
[3]
(1) Fill in the blanks and complete the proof of theorem: "The opposite angle formed by two
intersecting lines are of equal measure:
Given: Line AB & Line CD
A А
Intersect at o such that
A-O-B&C-O-D
To prove: (i) ZAOC =
(ii) ZBOC =
B
Proof: (i) ZBOC +
= 180° ----------(1) [Angles in linear pair)
(ii) ZBOC +
= 180°
-(2) [Angles in linear pair]
(iii) .. ZBOC+
= ZBOC + D (from (1) & (2)]
[Eliminatory ZBOC)
Similarly, it can be proved that ZBOC = {
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