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5 Find the value of x in the following figures.76°X-440bа​

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Selina solutionsGrade 6BiologyMathematicsPhysicsChapters in CONCISE Mathematics - Middle SCHOOL - 6Exercises in Angles (With their TYPES)Question 2Q2)Find the value of ‘x’ for each of the following figures :SolutionTranscriptSolution:(i) In figure (i) BOC is a straight line\angle AOC+\angle AOB∠AOC+∠AOB=180°75° + 2x+ 65° +3x+x= 360°5x+95° = 180°5x= 180° - 95° =85°x=\frac{85}{5}=x= 585 =17°x= 17°(ii) In figure (ii) angles are on a POINTTHE sum = 360°75° + 2x + 65° + x = 360°6x+140° = 360°6x= 360° - 140° =220°x=\frac{220}{6}=\frac{110}{3}x= 6220 = 3110 x=\left(36\frac{2}{3}\right)x=(36 32 )°x=36\frac{2}{3}x=36 32 (iii) In figure (iii) angles are on a pointTheir sum= 360°5x+3x+40° +120° =360°x=\frac{200}{8}x= 8200 =25°x=25°



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