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Question

(a) What are the three conditions that must be satisfied for two angles to be adjacent? [3 MARKS]

(b)
In the given figure, \(\angle 1\) and \(\angle 2\) are supplementary angles. If \(\angle 1\) decreases, then \(\angle 2\) will _______ so that both the angles are still supplementary.

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Solution

(a) Conditions: 2 Marks
(b) Explanation: 1 Mark

(a) Two angles are said to be adjacent if they have:


i) Common vertex

ii) Common arm

iii) Non-common arms are on either side of the common arm

(b)
If 1 decreases then, 2 will increase by the same measure, so that both the angles are still supplementary.


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