# Maths - Geometry Questions Answers

1. In the following figure, the value of x is 6251
• A. 55°  • B. 60°  • C. 65°  • D. 70°  • 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°

2. 6608
• A. 40°  • B. 50°  • C. 140°  • D. 130°  • Option : D
• Explanation : As, we know that
∠AOC+ ∠BOC = 180° (Linear Pair)
⇒ 50° + ∠BOC = 180°
⇒ ∠BOC = 180° - 50°
= 130°

3. 6610
• A. 105°  • B. 115°  • C. 95°  • D. 75°  • 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).

4. The sum oflength oftwo sides of a triangle is always

6611
• A. Less than third.  • B. Greater than third.  • C. Equal to third.  • D. 2/3 to third.  • Option : B
• Explanation : Sum of length of two sides of a triangle is always greater than the third side.

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## Maths - Geometry MCQ Questions

• Algebra
• Number System