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रेखाऐं और कोण #LinesOrAngles #math #9thclass #Chapter6 #Pg3 #MathExercise6.1 #Question1

आकृति 613 में रेखाएं AB और CD बिंदु O पर प्रतिच्छेद करती है यदि कोण AOC + कोण BOE = 70° डिग्री और कोण BOD = 40° डिग्री है तो कोण BOE और प्रतिवर्ती कोण COE ज्ञात कीजिए

Identify the relationship between
कोण AOC and कोण BOD

कोण AOC = कोण BOD because they are verticaly opposite angles

Determine the measure of कोण AOC using the info from the previous step and the given value of कोण BOD

कोण AOC = 40°

Calculate the measure of कोण BOE using the given equation कोण AOC + कोण BOE = 70° and the value of कोण AOC you just found

कोण BOE = 30°

Recognize that कोण AOC, कोण COE, and कोण BOE form a straight line AB. Therefore the Sum of these angles is 180°. Use this info to find the measure of कोण COE

कोण COE = 110°

Calculate the reflex कोण COE. Remember that the Sum of an angle and its reflex angle is 360°

Reflex कोण COE = 250°