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In the given figure, angleOAB=110^@ and ...

In the given figure, `angleOAB=110^@` and `angleBCD=130^(@)` then `angleABC` is equal to

A

`40^(@)`

B

`50^(@)`

C

`60^(@)`

D

`70^(@)`

Text Solution

Verified by Experts

The correct Answer is:
C

`angleABE+angleOAB=180^(@)`
`implies angleABE+110^(@)=180^(@)implies angleABE=70^(@)`.
And, `angleBCD+angleCBF=180^(@)`
`implies 130^(@)+angleCBF=180^(@) implies angleCBF=50^(@)`.
`:. 70^(@)+x^(@)+50^(@)=180 implies x=60^(@)`.
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RS AGGARWAL-LINES AND ANGLES-Multiple Choice Questions (Mcq)
  1. In the given figure, AOB is a straight line. The value of x is

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  2. The angles of a triangle are in the ratio 2 : 3 : 4. The largest angle...

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  3. In the given figure, angleOAB=110^@ and angleBCD=130^(@) then angleABC...

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  4. If two angles are complementary to each other, then each angle is :

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  5. An angle which measures more than 180^(@) but less than 360^(@), is ca...

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  6. The measure of an angle which is five times its complement. The angle ...

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  7. Two complementary angles are such that twice the measure of the one is...

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  8. In the given figure, AOB is a straight line. If angleAOC=4x^(@) and an...

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  9. In the given figure, AOB is a straight line. If angleAOC=(3x+10)^(@) a...

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  10. In the given figure, AOB is a straight line. If angleAOC=(3x-10)^(@), ...

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  11. Which of the following statements is false ?

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  12. An angle is one fifth of its supplement. The measure of the angle is

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  13. In the adjoining figure, AOB is a straight line. If x:y:z=4 : 5 : 6, t...

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  14. In the given figure, straight lines AB and CD intersect at O. If angle...

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  15. straight lines AB and CD intersect at O. If angleAOC+angleBOD=130^(@) ...

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  16. In the given figure, AB is a mirror, PQ is the incident ray and QR is ...

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  17. In the given figure, AB||CD. If angleBAO=60^(@) and angleOCD=110^(@) t...

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  18. In the given figure, AB||CD. If angleAOC=30^(@) and /OAB=100^(@) then ...

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  19. In the given figure, AB||CD. If angleCAB=180^(@) and angleEFC=25^(@) t...

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  20. In the given figure AB||CD and CD||EF. If y : z=3 : 7 then x=?

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