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In DeltaABC sides AB and C are produced ...

In `DeltaABC` sides AB and C are produced to D and E respectively. Bisectors of exterior angles so formed interest each other at point I. If `angleBAC=80^(@) and angleACB=50^(@)` Find,
(i)`angleECB`
(ii) `angleDBC`
(iii) `angleICB `
(iv) `angleIBC`
(v) `angleBIC`

Text Solution

Verified by Experts

The correct Answer is:
`(i) 130^(@) (ii) 130^(@) (iii)65^(@) (iv) 65^(@) (v) 50^(@)`
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NAGEEN PRAKASHAN-LINES AND ANGLES-Exercise 6 C
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  2. Prove that measure of each angle of an equilateral triangle is 60^0...

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  3. Find the x and y from the adjooining figure.

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  4. In a DeltaABC, angleA=2 angleB=3 angleC, find each of the triangle.

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  6. In DeltaABC, bisectors of angleB and angleC interesct each other at po...

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  7. An angle of a triangle mesures 68^(@) and the other two angles differ ...

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  8. Find the value of x form the adjoining diagram.

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  9. In DeltaABC sides AB and C are produced to D and E respectively. Bisec...

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  10. In triangle ABC,the bisector of interior angle A and the bisector angl...

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  11. From the adjoining figure prove that angleA+angleB+angleC+angleD+angle...

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  14. Prove that bisectors of any two adjacent angles of a rhombus from a ri...

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  15. Triangle ABC is right angles at B. Internet bisectors of acute angles ...

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  16. Bisectors of angles A and D of a quadrilateral ABCD meet at P. Prove t...

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  17. In the given figure, AD is altitude and AE is bisector of angle BAC of...

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  18. In DeltaABC, angleA-angleB=16^(@) and angleC-angleA=34^(@)=34^(@) , fi...

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  19. In a right angled triangle ABC, angleB=90^(@), p is a point on BA prod...

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  20. In the adjoining figure, AB||CD. If the angleBAE=25^(@) and angleCDE=...

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