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Linear Pair

In the adjoin...

Question

In the adjoining figure 1.53 find the measures of $∠$ AOC and $∠$ BOC

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Solution

According to the figure, we have,
$∠ AOC + ∠ BOC = 180 ° (Linear pair) \Rightarrow (3 x + 5) ° + (2 x - 25) ° = 180 ° \Rightarrow (5 x - 20) ° = 180 ° \Rightarrow 5 x = (180 + 20) \Rightarrow 5 x = 200 \Rightarrow x = 40 Thus, ∠ AOC = (3 x + 5) ° = (3 \times 40 + 5) ° = 125 ° Also, ∠ BOC = (2 x - 25) ° = (2 \times 40 - 25) ° = 55 °$

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