Maths - Geometry Questions Answers

1. In the following figure, the value of x is

  • Option : B
  • Explanation : ∠CBA =180° -65°=115°. ∠DCB =180° -80°=100°. ∠EDC=1I5°. ∠A =90°. ∠DEA =540°. - (115°+ 100° + 115° + 90°) =120°. [sum of all angles 'in a pentagon is 540°]. ∠x = 180° -120°=60°
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2. reetfeb16/q96

  • Option : D
  • Explanation : As, we know that
    ∠AOC+ ∠BOC = 180° (Linear Pair)
    ⇒ 50° + ∠BOC = 180°
    ⇒ ∠BOC = 180° - 50°
    = 130°
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3. reetfeb16/q97

  • Option : A
  • Explanation : As, ∠ACB = 180° - (∠ABC+ ∠BAC)
    = 180° - (50°+ 30°) = 100° (Sum of angles of a triangle)
    ∴ ∠ACD = 180° - 100° = 80° (Linear Pair)
    ∴ ∠AED = ∠ACD + ∠EDC
    = 80° + 25° = 105° (Exterior Angle Theorem).
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4. The sum oflength oftwo sides of a triangle is always

  • Option : B
  • Explanation : Sum of length of two sides of a triangle is always greater than the third side.
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