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If the base of an isosceles triangle i...

If the base of an isosceles triangle is produced on both sides, prove that the exterior angles so formed are equal to each other.

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To prove that the exterior angles formed by extending the base of an isosceles triangle are equal to each other, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Triangle**: Let triangle ABC be an isosceles triangle where AB = AC. 2. **Label the Angles**: Since AB = AC, by the properties of isosceles triangles, the angles opposite these sides are equal. Therefore, we have: \[ ...
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RD SHARMA-CONGRUENT TRIANGLE -All Questions
  1. In Figure, AB=AC and /A C D=10^@, find /BAC

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  2. Find the measure of each exterior angle of an equilateral triangle.

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  3. If the base of an isosceles triangle is produced on both sides, prov...

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  4. In Figure, AB=AC and DB=DC , find the ratio /A B D\ :\ /A C D

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  5. Determine the measure of each of the equal angles of a right-angled ...

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  6. A B C is a right-angled triangle is which /A=90^0a n d\ A B=A Cdot F...

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  7. A B is a line segment. P\ a n d\ Q are points on opposite sides of A...

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  8. In Figure, diagonal A C of a quadrilateral A B C D bisects the angles ...

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  9. A B is a line segment. A X\ a n d\ B Y are two equal line segments d...

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  10. l\ a n d\ m are two parallel lines intersected by another pair of pa...

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  11. In Figure, if A B||D C\ a n d\ P is the mid-point B D , prove that P i...

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  12. In Figure, /B C D=/A D C\ a n d\ /A C B=/B D Adot Prove that A D=B C\ ...

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  13. In two right triangles, one side and an acute angle of one triangle ...

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  14. In Figure, A C=B C ,\ /D C A=/E C B\ a n d\ /D B C=E A Cdot Prove that...

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  15. In Figure, it is given that R T=T S ,\ /1=2/2\ a n d\ /4=2/3 . Prove...

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  16. Two lines A B\ a n d\ C D intersect at O such that B C is equal and pa...

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  17. B D\ a n d\ C E are bisectors of /B\ a n d\ /C of an isosceles A B C ...

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  18. In Figure, A B=A C\ a n d\ D B=D Cdot\ Prove that /A B D=/A C D

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  19. \ a b c is an isosceles triangle with A B=A Cdot Side B Ais produced...

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  20. In Figure, A B=A CdotB E\ a n d\ C F are respectively the bisectors ...

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