Maharashtra BoardEnglish MediumSTD 9MathsLines And Angles4 Marks
Question
In figure, $\angle\text{AOC}$ and $\angle\text{BOC}$ from a linear pair. If a - 2b = 30°, find a and b.
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Answer
Given that,$\angle\text{AOC}$ and $\angle\text{BOC}$ form a linear pair
If a - b = 30$\angle\text{AOC}=\text{a}^\circ,\angle\text{BOC}=\text{b}^\circ$
Therefore, a + b = 180 ...(i) Given a - 2b = 30 ...(ii) By subtracting (i) and (ii) a + b - a + 2b = 180 - 30 3b = 150$\text{b}=\frac{150}{3}$
b = 50 Since a - 2b = 30 a - 2(50) = 30 a = 30 + 100 a = 130 Hence, the values of a and b are 130° and 50° respectively.
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