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Let the incircle of DeltaABC touches the...

Let the incircle of `DeltaABC` touches the sides BC, CA, AB at `A_(1), B_(1),C_(1)` respectively. The incircle of `DeltaA_(1)B_(1)C_(1)` touches its sides of `B_(1)C_(1), C_(1)A_(1) and A_(1)B_(1)" at " A_(2), B_(2), C_(2)` respectively and so on.
Q. In `DeltaA_(4)B_(4)C_(4)`, the value of `angleA_(4)` is:

A

`(3pi+A)/(6)`

B

`(3pi-A)/(8)`

C

`(5pi-A)/(16)`

D

`(5pi+A)/(16)`

Text Solution

Verified by Experts

The correct Answer is:
D
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