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

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

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Let angle be `x/3`
Its supplementary will be `x`
`x+x/3=4/3x=180`
`x=135`
`135/3=45`
`therefore` The measure of angle`=135`
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RD SHARMA-LINES AND ANGLES -All Questions
  1. In Fig. 6.11, OP, OQ, OR and OS are four rays. Prove that /P O Q+/Q ...

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

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

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

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

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

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

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

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

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

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

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

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

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  14. Find the angle which is equal to its complement

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

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

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

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

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

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

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