find the measure of arc ADC, if angle OAB = 30° & angle OCB = 50°
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In triangle AOB, Angle OAB = angle OBA
( angles between equal sides are equal)
=> OBA = 30°
So,
Angles OAB + OBA + BOA = 180°
=> 60° + BOA=180°=>Angle BOA=120°Similarly,
Angle BOC = 80°Hence,
Measure of arc ADC = Angle AOC= 360° - (120 + 80)°= 160°
( angles between equal sides are equal)
=> OBA = 30°
So,
Angles OAB + OBA + BOA = 180°
=> 60° + BOA=180°=>Angle BOA=120°Similarly,
Angle BOC = 80°Hence,
Measure of arc ADC = Angle AOC= 360° - (120 + 80)°= 160°
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