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If P Q R S is a square, then write the...

If `P Q R S` is a square, then write the measure of `/_S R P`

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given that PQRS is a square,
consider a traingle `PSR`
`PS=RS`[sides of a square]
so it is a isosceles triangle.
`/_SRP=/_RPS`
let `/_SRP=/_RPS=x^@`
`/_PSR=90^@` [angle of a square]
so
`/_PSR+/_SRP+/_RPS=180^@`
`2x=180^@-90^@`
`x=45^@`
hence `/_SRP=45^@`
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RD SHARMA-QUADRILATERALS-All Questions
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  2. The diagonals of a rectangle A B C D\ meet at O . If /B O C=44^@, f...

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

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

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

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

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

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

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

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

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

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

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

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  19. The consecutive sides of a quadrilateral have (a) no common point  ...

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