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Question

In the figure, ray OC stands on the line AB and BOC:AOC=2:7. Find the angles AOC and BOC.   [3 MARKS]


Solution

Concept: 1 Mark
Application: 2 Marks

BOC:AOC=2:7   (Given)

BOC+AOC=180

Let BOC=2x and AOC=7x

Then 2x+7x=180

9x=180

x=20

Now, BOC=2×20=40

AOC=7×20=140

Hence, AOC=140 and  BOC=40

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