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If the angles (2x-10)^@ and (x-5)^@ are ...

If the angles `(2x-10)^@` and `(x-5)^@` are complementary angles, find `x.`

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Complementary angles`=(2x−10)^@` and `(x−5)^@`
According to the question:
`(2x−10)^@+(x−5)=90^@`
`3x−15^@=90^@`
`3x=105^@`
`x=35^@`
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RD SHARMA-LINES AND ANGLES -All Questions
  1. Two supplementary angles differ by 34^0 . Find the angles.

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  2. In Fig. 6.10, ray OS stands on a line POQ. Ray OR and ray OT are ang...

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  3. If the angles (2x-10)^@ and (x-5)^@ are complementary angles, find x.

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  4. Two supplementary angles are in the ratio 4:5 . Find the angles.

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  5. If an angle is 28^@ less than its complement, find its measure.

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  6. The supplement of an angle is one-third of itself. Determine the an...

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  7. Lines P Q and R S intersect each other at point Odot If /P O R:/R O Q=...

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  8. An angle is 14^@ more than its complementary angle. What is its measur...

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  9. If an angle differs from its supplement by 10^@ , find the angle.

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  10. In Fig. 6.17, POQ is a line. Ray OR is perpendicular to line PQ. OS ...

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  11. Find the angle which is equal to its complement

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  12. Find the measure of an angle which forms a pair of supplementary ang...

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  13. Two supplementary angles differ by 34^0 . Find the angles.

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  14. An angle is equal to five times its complement. Determine its measu...

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  15. An angle is equal to one-third of its supplement. Find its measure.

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  16. Two supplementary angles are in the ratio 2:3. Find the angles.

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  17. The supplement of an angle is one-third of itself. Determine the an...

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  18. Write the complement of each of the following angles: (i) 20^0 (ii) ...

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  19. Write the supplement of each of the following angles: (i) 54^0 (ii) ...

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  20. If an angle is 28^0 less than its complement, find its measure.

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