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In DeltaABC, P,Q, R are the feet of angl...

In `DeltaABC, P,Q, R` are the feet of angle bisectors from the vertices to their opposite sides as shown in the figure. `DeltaPQR` is constructed

If `angleBAC = 120^(@)`, then measusred of `angleRPQ` will be

A

`60^(@)`

B

`90^(@)`

C

`120^(@)`

D

`150^(@)`

Text Solution

Verified by Experts

The correct Answer is:
B
Since Q is the excentre of `DeltaAPC`, we have

`angleAPQ = angleQPC`
Also, R is the excentre of `DeltaAPB`
so, `angleAPR = angleRPB`
so, `angleRPQ = 90^(@)`
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CENGAGE ENGLISH-PROPERTIES AND SOLUTIONS OF TRIANGLE-Linked comprehension type
  1. Given an isoceles triangle with equal side of length b and angle alpha...

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  2. Incircle of DeltaABC touches the sides BC, AC and AB at D, E and F, re...

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  3. Incircle of DeltaABC touches the sides BC, AC and AB at D, E and F, re...

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  4. Incircle of DeltaABC touches the sides BC, AC and AB at D, E and F, re...

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  5. Bisectors of angles A, B and C of a triangle ABC intersect its circum...

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  6. Internal bisectors of DeltaABC meet the circumcircle at point D, E, an...

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  7. Internal bisectors of DeltaABC meet the circumcircle at point D, E, an...

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  8. The area of any cyclic quadrilateral ABCD is given by A^(2) = (s -a) (...

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  9. The area of any cyclic quadrilateral ABCD is given by A^(2) = (s -a) (...

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  10. The area of any cyclic quadrilateral ABCD is given by A^(2) = (s -a) (...

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  11. In DeltaABC, R, r, r(1), r(2), r(3) denote the circumradius, inradius,...

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  12. In DeltaABC, R, r, r(1), r(2), r(3) denote the circumradius, inradius,...

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  13. In DeltaABC, R, r, r(1), r(2), r(3) denote the circumradius, inradius,...

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  14. In DeltaABC, P,Q, R are the feet of angle bisectors from the vertices ...

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  15. In triangleABC, P,Q, R are the feet of angle bisectors from the vertic...

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  16. Let G be the centroid of triangle ABC and the circumcircle of triangle...

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  17. Let G be the centroid of triangle ABC and the circumcircle of triangle...

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  18. Let G be the centroid of triangle ABC and the circumcircle of triangle...

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  19. The inradius in a right angled triangle with integer sides is r If r...

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  20. The inradius in a right angled triangle with integer sides is r If r...

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