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In the given figure, l||m and a traversa...

In the given figure, `l||m` and a traversal t cuts them. If `angle1 : angle2 =2 : 3`, find the measure of each of the marked angles.

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The correct Answer is:
`angle1=72^(@), angle2=108^(@), angle3=72^(@), angle4=108^(@), angle5=72^(@), angle6=108^(@), angle7=72^(@), angle8=108^(@)`
Let `angle1=(2x)^(@)` and `angle2=(3x)^(@)`.
Then, `2x+3x=180 implies 5x=180 implies x=36`.
`:. angle1=72^(@), angle2=108^(@)`, and so on.
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RS AGGARWAL-LINES AND ANGLES-Exercise 7C
  1. In this given figure, l||m and a transversal t cuts them. If angle7=12...

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  2. In the given figure, l||m and a transversal t cuts them. If ∠7=80^(@),...

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  3. In the given figure, l||m and a traversal t cuts them. If angle1 : ang...

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  4. For what value of x will the lines l and m be parallel to each other ?

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  5. For what value of x will the lines l and m be parallel to each other ?

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  6. In the given figure, AB||CD and BC||ED. Find the value of x.

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  7. In the given figure, AB||CD||EF. Find the value of x.

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  8. In the given figure, AB||CD. Find the values of x, y and z.

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  9. In each of the figures given below, AB||CD. Find the value of x in eac...

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  10. In the given figure, AB||CD. Find the value of x.

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  11. In the given figure, AB||PQ. Find the values of x and y.

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  12. In the given figure, AB||CD. Find the value of x.

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  13. In the given figure, AB||CD. Find the value of x.

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  14. In the given figure, AB||CD. Find th value of x,y and z.

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  15. In the given figure, AB||CD. Prove that angleBAE-angleECD=angleAEC

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  16. In the given figure, AB||CD. Prove that p+q-r=180.

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  17. In the given figure, AB||CD and EF||GH. Find the values of x, y, z and...

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  18. In the given figure, AB||CD and a transversal t cuts them at E and F r...

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  19. In the given figure, AB||CD and a transversal t cuts them at E and F r...

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  20. In the given figure, BA||ED and BC||EF. Show that angleABC=angleDEF.

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