Math, asked by Abarrane, 1 year ago

the two tangents from an external point p to a circle with centre O are PA and PB.If

Abarrane: the two tangents from an external point p to a circle with centre O are PA and PB.If <APB=70 what is the value of < AOB

Anonymous: you want answer in explanation or not

Anonymous: it contains two types of answer one is short and other one is long

Answers

Answered by Anonymous

here is the long answer along with pic.
Short answer is that,
angle AOB + angle APB=180
ang. AOB= 180- ang. APB
ang. AOB =180- 70
ang. AOB = 110°

hope this answer will satisfy you

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Abarrane: thanks a lotttttttt!

Anonymous: its ok

Anonymous: nd thanks for mark it brainliest one

Answered by amitnrw

Given : The two tangents from an external point P to a circle with centre O are PA and PB.

APB = 70°

To Find : ∠ AOB.

Solution:

in Quadrilateral OAPB

∠OAP + ∠APB + ∠OBP + ∠AOB = 360°

∠OAP =∠OBP = 90° as PA and PB are tangents

∠APB = 90°

=> 90° + 70° + 90° + ∠AOB = 360°

=> 250° + ∠AOB = 360°

=> ∠AOB = 110°

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