Question

Will the measure of $\angle$ ABC and of $\angle$ CBD make the measure of $\angle$ ABD in the given figure? Name all the rays in the figure. Which of the two angles share a common ray?


[4 MARKS]

Answer 1

Explanation: 1 Mark
Solution: 1 Mark
Naming of Rays: 1 Mark
Common Ray: 1 Mark

In $\angle$ ABC and $\angle$ CBD, BC is a common arm. So, $\angle$ ABC and $\angle$ CBD form a linear pair.
Hence, $\angle$ ABC + $\angle$ CBD = $\angle$ ABD.
The various rays in the above figure are BA, BC, BD.
The two angles that share a common ray are $\angle$ABC and $\angle$CBD.