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In Figure, given that A B||C D If /2=(3...

In Figure, given that `A B||C D` If `/_2=(3x-10)^@ and /_8=(5x-30)^@,` determine the measures of `/_2` and `/_8`

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Given that `AB∥CD,/_2=/_8 `(Alternate external angles)
`(3x−10)^@=(5x−30)^@`
`x=10^@`
`/_2=(3x−10)^@`
`=>3xx10−10=20^@`
`/_8=(5x−30)^@`
`=>5×10−30=20^@`
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RD SHARMA-LINES AND ANGLES -All Questions
  1. In Figure, given that A B||C Ddot If /1=(120-x)^0a n d\ /5=5x^0, find...

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  2. In Figure, given that A B||C D If /4=(x+20)^0a n d\ /5=(x+8)^0, find ...

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  3. In Figure, given that A B||C D If /2=(3x-10)^@ and /8=(5x-30)^@, dete...

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  4. In Figure, given that A B||C D If /1=(2x+y)^0a n d\ /6\ (3x-y)^0, det...

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  5. In Figure, given that A B||C D. If /2=(2x+30)^0,\ /4=(x+2y)^0a n d\ /6...

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  6. In Figure, given that A B||C D If /2=2(/1) , determine /7.

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  7. In Figure, given that A B||C D If the ratio of the measures of /3\ ...

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  8. In Figure, given that A B||C D If the complement of /5 equals the sup...

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  9. In Figure, if A B||C D ,\ E F\ |C D and /G E D=126^0, find /A G E ,\ /...

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  10. In Figure, if A B||C D ,\ /A P Q=50^0A N D\ /P R D=127^0, find x\ a n ...

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

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  12. In Figure, A B||C Ddot Determine /1

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  13. In Figure, A B||C Ddot Determine x

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  14. In Figure, A B||C Ddot Find the value of x

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  15. In Figure, A B||D Edot Prove that /A B C+/B C D=180^0+/C D E

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  16. In Figure, A B\|| \ C D\ \ a n d\ \ E F\||DQ Determine /P D Q ,\ /A ...

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  17. In figure, P Q R S ,\ /P A B=70^0a n d\ /A C S=100^0dot Determine /A ...

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  18. In Figure, A B||C D\ a n d\ /F=30^0 . Find /E C Ddot

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  19. In Figure, O P||R Sdot Determine /P Q R

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  20. In Figure, if /2=120^0a n d\ /5=60^0, show that m||n

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