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The angles of a triangle are (x-40)^0...

The angles of a triangle are `(x-40)^0,\ (x-20)^0\ a n d\ (1/2x-10)^0dot` find the value of `xdot`

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Solution:
The sum of measures of angles of a triangles is `180^@`
`(x−40)+(x−20)+(x/2−10)=180^@`
`(5x)/2−70^ @ =180^ @`
`(5x)/2=250^ @`
`5x=500^@`
`x=100^@`
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RD SHARMA-TRIANGLE AND ITS ANGLES-All Questions
  1. In a A B C , if /A=55^0,\ /B=40^0, find /C

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  2. If the angles of a triangle are in the ratio 1:2:3, determine three...

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  3. The angles of a triangle are (x-40)^0,\ (x-20)^0\ a n d\ (1/2x-10)^...

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  4. The angle of a triangle are arranged in ascending order of magnitud...

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  5. Two angles of a triangle are equal and the third angle is greater t...

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  6. If one angle of a triangle is equal to the sum of the other two, sh...

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  7. A B C is a triangle in which /A=72^0, the internal bisectors of ang...

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  8. The bisectors of base angles of a triangle cannot enclose a right a...

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  9. If the bisectors of the base angles of a triangle enclose an angle ...

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  10. In a A B C ,\ /A B C=\ /A C B and the bisectors of /A B C\ a n d\ /A ...

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  11. Can a triangle have: Two right angles? (ii) Two obtuse angles? Two acu...

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  12. If each angle of a triangle is less than the sum of the other two, ...

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  13. An exterior angle of a triangle is 110^0, and one of the interior ...

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  14. The sides B C ,\ C A\ a n d\ A B\ of a A B C , are produced in order...

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  15. In Figure, if Q T|P R ,\ /T Q R=40^0\ a n d\ \ /S P R=30^0, find x\ a ...

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  16. In Figure, side Q P\ a n d\ R Q of P Q R are produced to point S\ a n...

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  17. In Fig. 6.40, /X=62^@, /X Y Z=54^@. If YO and ZO are the bisectors of...

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  18. In Figure, if A B\ D E ,\ /B A C=35^0a n d\ /C D E=53^0, find /D C Ed...

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  19. In Fig. 6.42, if lines PQ and RS intersect at point T, such that /P R...

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  20. In Fig. 6.42, if lines PQ and RS intersect at point T, such that /P R...

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