Math, asked by mitu1234, 1 year ago

find the measure of arc ADC, if angle OAB = 30° & angle OCB = 50°


shivam75: please provide diagram
joe30: yea

Answers

Answered by joe30
100
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°

joe30: plz mark as brainliest if this helped you :)
Answered by anshsharmaplayer03
16

Answer: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)°

= 16

Step-by-step explanation:

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