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CDS - Lines & Angles Test 1183
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CDS - Lines & Angles Test 1183
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  • Question 1/5
    1 / -0.33
    If ∠APR =  and ∠BQR = then value of y in the given figure is

    Solutions

    From figure AP  BQ

    Draw a line MN parallel to AP and BQ.

    Because AP  MN

    ⇒ ∠ APR = ∠ PRN =  (alternate angles)

    And MN  BQ

    ⇒ ∠ BQR = ∠ QRN =  (alternate angles)

    ⇒ ∠PRQ = ∠PRN + ∠NRQ =

    Now y = ∠PRQ =

  • Question 2/5
    1 / -0.33
    If a straight line L makes an angle  ( with the positive direction of x-axis , then the acute angle made by a straight line , perpendicular to L,with the y-axis is:
    Solutions

    In

    Hence,

    Now in

  • Question 3/5
    1 / -0.33
    The ratio of two complementary angle is 1 : 5. What is the difference between the two angles?
    Solutions

    Given that,

    ∝ = k and β = 5k

    Or complementary angles, ∝ =90° - β

    K = 90° - 5k

    K = 15°

    ∝ = 15° and β = 75°

    Difference between angles = 75°-15°=60°

  • Question 4/5
    1 / -0.33
    In the given figure AB||DE. Find ?

    Solutions

    Since, AB||DE,

    Now,



  • Question 5/5
    1 / -0.33
    In a triangle ABC, the sides AB, AC are produced and the bisectors of exterior angles of and intersect at D. If then is equal to
    Solutions

    In


    &
    Adding both, we get




    In


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