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In quadrilateral A B C D ,\ A O\ a n d\ ...

In quadrilateral `A B C D ,\ A O\ a n d\ B O` are the bisectors of `/_A\ a n d\ /_B` respectively. Prove that `/_A O B=1/2(/_C+/_D)dot`

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To prove that in quadrilateral ABCD, where AO and BO are the bisectors of angles A and B respectively, the following relationship holds: \[ \angle AOB = \frac{1}{2} (\angle C + \angle D) \] we can follow these steps: ...
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RD SHARMA-UNDERSTANDING PHASE-II (QUADRILATERALS)-All Questions
  1. In Figure, determine /P+/Q+/R+/S+/Tdot

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  2. A B C D E is a regular pentagon. The bisector of /A of the pentagon me...

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  3. In quadrilateral A B C D ,\ A O\ a n d\ B O are the bisectors of /A\ a...

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  4. A B C D E is a regular pentagon and bisector of /B A E\ meets C D\ a...

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  5. In Figure, bisectors of /B\ a n d\ /D of quadrilateral A B C D meet C ...

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  6. Define the following terms: (i) Quadrilateral (ii) Convex Quadrilate...

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  7. In a quadrilateral, define each of the following: (i) Sides          ...

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  8. Complete each of the following, so as to make a true statement: (i) A...

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  9. In Figure, A B C D is a quadrilateral. Name a pair of adjacent sides....

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  10. The angles of a quadrilateral are 110^@, 72^@, 55^@ and x^@ Find the v...

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  11. The three angles of a quadrilateral are respectively equal to 100^0,...

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  12. A quadrilateral has three acute angles each measures 80^0dot What is...

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  13. A quadrilateral has all its four angles of the same measure. What is...

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  14. Two angles of a quadrilateral are of measure 65^@ and the other two an...

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  15. Three angles of a quadrilateral are equal. Fourth angle is of measur...

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  16. The angles of a quadrilateral are in the ratio 3:5: 9:13. Find all th...

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  17. If the sum of the two angles of a quadrilateral is 180^@ What is the...

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  18. In Figure, find the measure of /M P N

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  19. theorem 1 (Exterior angle sum property) if the sides of quadrilateral ...

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  20. In Figure, the bisectors of /A\ a n d\ /B meet at a point Pdot If /C=1...

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