Find the measure of arc ADC if angle OAB is 30 degree and angle OCB is 50 degree
abheshek040202:
can you show the diagram?
HOW TO SHOW IT????
when you type a question there must be a paper clip icon on the bottom bar. From there you can put photos.
can I do it now
i think you will have to add a new question
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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°
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°
how can u say that measure of adc= angle aoc
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