ans this pls i will mark brainliest
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i think answer is 120
OBA = 30 ...... 1
OAB = 30 ( linear pair ) ........ 2
1 + 2 = 30 + 30 = 60
sum of triangle = 180
180 - 60 = 120
Hence problem is proved
OBA = 30 ...... 1
OAB = 30 ( linear pair ) ........ 2
1 + 2 = 30 + 30 = 60
sum of triangle = 180
180 - 60 = 120
Hence problem is proved
yahootak:
is the answer = 120 ?
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3
ANSWER:
120°
EXPLANATION:
Given:
/_OBA = 30°
To find : /_APB
°•° OA and OB are the radii of same circle
•°• OA = OB
°•°∆OAB is an iscoles traingle
/_OBA = /_OAB(angle opposite to equal sides)
•°•/_OAB = /_OBA = 30°
In ∆ OAB
/_OAB + /_OBA + /_AOB = 180°(Angle sum property)
30° + 30° + /_AOB = 180°
/_AOB = 180° - 60°
/_ AOB = 120°
Now,
/_O + /_AOB = 360° [Angle sum ]
/_O = 360° - 120°
/_O = 240°
°•° The angle subtended by an arc at the centre is double the angle of subtended by it at any point on the remaining part of the circle
•°• 2/_APB = /_O
/_APB = 240° ÷ 2
/_APB = 120°
120°
EXPLANATION:
Given:
/_OBA = 30°
To find : /_APB
°•° OA and OB are the radii of same circle
•°• OA = OB
°•°∆OAB is an iscoles traingle
/_OBA = /_OAB(angle opposite to equal sides)
•°•/_OAB = /_OBA = 30°
In ∆ OAB
/_OAB + /_OBA + /_AOB = 180°(Angle sum property)
30° + 30° + /_AOB = 180°
/_AOB = 180° - 60°
/_ AOB = 120°
Now,
/_O + /_AOB = 360° [Angle sum ]
/_O = 360° - 120°
/_O = 240°
°•° The angle subtended by an arc at the centre is double the angle of subtended by it at any point on the remaining part of the circle
•°• 2/_APB = /_O
/_APB = 240° ÷ 2
/_APB = 120°
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