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In a quadrilateral A B C D , bisectors o...

In a quadrilateral `A B C D ,` bisectors of angles `A\ a n d\ B` intersect at `O` such that `/_A O B=75^@,` then write the value of `/_C+\ /_D`

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Verified by Experts

we know that
In a quadrilateral `ABCD`.
if AO and BO are bisectors of angle A and angle B respectively.
then
`/_AOB=1/2{/_C+/_D}`
so
`2(/_AOB)=/_C+/_D`
`2(75^@)=/_C+/_D`
so
`/_C+/_D=150^@`
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RD SHARMA-QUADRILATERALS-All Questions
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  2. P Q R S is a square such that P R\ a n d\ S Q intersect at Odot State ...

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  3. In a quadrilateral A B C D , bisectors of angles A\ a n d\ B intersect...

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  4. The diagonals of a rectangle A B C D\ meet at O . If /B O C=44^@, f...

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  5. If P Q R S is a square, then write the measure of /S R P

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  6. If A B C D is a rectangle with /B A C=32^@, find the measure of /D B C

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  7. If A B C D is a rhombus with /A B C=56^@, find the measure of /A C D

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  8. The perimeter of a parallelogram is 22cm. If the longer side measur...

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  9. If the angles of a quadrilateral are in the ratio 3:5:9:13, then find ...

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  10. If the bisectors of two adjacent angles A\ a n d\ B of a quadrilate...

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  11. In a parallelogram A B C D , if /A=(3x-20)^@, /B= (y+15)^@, /C=(x+40)^...

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  12. If measures opposite angles of a parallelogram are (60-x)^@ and (3x-...

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  13. In a parallelogram ABCD , the bisector of /A also bisects BC at X Fin...

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  14. In Figure, P Q R S is an isosceles trapezium. Find x and y

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  15. In Figure, A B C D is a trapezium. Find the value of x\ a n d\ y

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  16. In Figure, P Q R S is a rhombus in which the diagonal P R is produce...

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  17. In Figure, A B C D is a rectangle in which diagonal A C is produced ...

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  18. In Figure, A B C D\ a n d\ A E F G are two parallelograms. If /C=58^...

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  19. Complete each of the following statements by means of one of those ...

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  20. The opposite sides of a quadrilateral have (a)no common point      ...

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