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In DeltaPQR and DeltaMST, angleP=55^(@),...

In `DeltaPQR` and `DeltaMST`, `angleP=55^(@),angleQ=25^(@),angleM=100^(@)and angleS=25^(@)`. Is `DeltaQPR~DeltaTSM`? Why ?

Answer

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In DeltaPQR,angleP=50^(@) and angleQ=60^(@) . Find angleR.

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Knowledge Check

  • If DeltaPQR ~ DeltaDEF, angleP = 65^@ and angleF = 32^@, then angleQ is

    A
    `32^@`
    B
    `65^@`
    C
    `83^@`
    D
    `97^@`
  • In a triangle PQR, angleR is greater than angleQ by 9^(@) . If angleP=alpha^(@),angleQ=(3alpha-2)^(@) , and angleR=beta^(@) then find all the angles of the triangle.

    A
    `30^(@),60^(@),90^(@)`
    B
    `45^(@),45^(@),90^(@)`
    C
    `25^(@),73^(@),82^(@)`
    D
    none of these
  • PQRS is a parallelogram in which angleP = 70^(@), angleQ = 90^(@) and angleR = 100^(@) . How many points in the plane of the quadrilateral are there such that a point is equidistant from its vertices ?

    A
    A. 80* and 50*
    B
    B. 30* and 80*
    C
    C. 100* and 70*
    D
    D. none of these
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    If in DeltaDEF and DeltaPQR, angleD = angleQ, angleR =angleE , then which of the following statements is false?

    angleP and angleQ are supplementary angles. If angleP=angleQ-40^(@), then find angleP and angleQ .

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