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An angle is equal to one-third of its...

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

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Verified by Experts

Given that Supplement of an angle is `1/3`rd of itself.
`=>` `x = 45`.
Therefore the measures are `45^@` and `180 - 45` = `135^@`
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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. An angle is equal to five times its complement. Determine its measu...

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

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

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

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

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

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

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  9. If an angle is 30^0 more than one half of its complement, find the ...

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

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  11. Two supplementary angles differ by 48^0 . Find the angles.

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  12. An angle is equal to 8 times its complement. Determine its measure.

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  13. If the angles (2x-10)^0 and (x-5)^0 are complementary angles, find xdo...

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  14. If the complement of an angle is equal to the supplement of the thr...

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  15. If an angle differs from its complement by 10^0 , find the angle.

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  16. If the supplement of an angle is three times its complement, find t...

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  17. If the supplement of an angle is two-third of itself. Determine the...

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  18. An angle is 14^0 more than its complementary angle. What is its mea...

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  19. The measure of an angle is twice the measure of its supplementary a...

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  20. The bisectors of base angles of a triangle cannot enclose a right an...

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