Question
Will the measure of ∠ ABC and of ∠ CBD make the measure of ∠ ABD in the given figure? Name all the rays in the figure. Which of the two angles share a common ray?
[4 MARKS]
Answer: Option A
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Explanation: 1 Mark
Solution: 1 Mark
Naming of Rays: 1 Mark
Common Ray: 1 Mark
In ∠ ABC and ∠ CBD, BC is a common arm. So, ∠ ABC and ∠ CBD form a linear pair.
Hence, ∠ ABC + ∠ CBD = ∠ ABD.
The various rays in the above figure are BA, BC, BD.
The two angles that share a common ray are ∠ABC and ∠CBD.
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