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  • Question
  • Two angles are supplementary and the ratio of the angels is 1:4. what is the value of smaller angle?


  • Options
  • A. 36 degree
  • B. 45 degree
  • C. 35 degree
  • D. 72 degree

  • Correct Answer
  • 36 degree 

    Explanation

    As we know that the angles are supplementary so sum of angles will be 180 degree.
    Let us assume that the ratio factor is r.
    According to question,
    Angles are supplementary and have a ratio of 1:4.
    r + 4r = 180
    ? 5r = 180
    ? r = 180/5
    ? r = 36


  • Plane Geometry problems


    Search Results


    • 1. 
      13, 35, 57, 79, 911,?

    • Options
    • A. 1113
    • B. 1123
    • C. 1114
    • D. 1124
    • Discuss
    • 2. 
      62, 87, 187, 412, 812,?

    • Options
    • A. 1012
    • B. 1437
    • C. 1337
    • D. 1457
    • Discuss
    • 3. 
      20, 21, 25, 34, 50,?, 111

    • Options
    • A. 70
    • B. 65
    • C. 60
    • D. 75
    • Discuss
    • 4. 
      4, 2, 3.5, 7.5, 26.25, 118.125

    • Options
    • A. 118.125
    • B. 26.25
    • C. 3.5
    • D. 2
    • Discuss
    • 5. 
      16, 19, 21, 30, 46, 71, 107

    • Options
    • A. 19
    • B. 20
    • C. 30
    • D. 46
    • Discuss
    • 6. 
      The complement of 30°20? is:

    • Options
    • A. 69°40?
    • B. 59°40?
    • C. 35°80?
    • D. 159°40?
    • Discuss
    • 7. 
      In the given, AB || CD. Then X is equal to:

    • Options
    • A. 93°
    • B. 103°
    • C. 83°
    • D. 97°
    • Discuss
    • 8. 
      An angle is equal to one-third of its supplement. Its measure is equal to :

    • Options
    • A. 40°
    • B. 50°
    • C. 45°
    • D. 55°
    • Discuss
    • 9. 
      In the adjoining figure, AB || CD, t is the traversal, EG and FG are the bisectors of ?BEE and ?DFE respectively, then ?EGF is equal to :

    • Options
    • A. 90°
    • B. 75°
    • C. 80°
    • D. 110°
    • Discuss
    • 10. 
      Find the measure of an angle, if six times its complement is 12° less than twice its supplement :

    • Options
    • A. 48°
    • B. 96°
    • C. 24°
    • D. 58°
    • Discuss


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