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 Multiple Choice QuestionsMultiple Choice Questions

1.

The line segment AB intersects the straight line CD at B; AB will be smallest when angle ABD is

  • 30 degree
  • 60 degree
  • 90 degree
  • 90 degree
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2.

An interior angle of a regular polygon is 5 times its exterior angle. Then the number of sides of the polygon is

  • 14

  • 16

  • 12

  • 18

332 Views

3.

In a triangle ABC,
 , then ∠B is

  • 50°

  • 80°

  • 40°

  • 60°

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4.

The measure of an angle whose supplement is three times as large as its complement, is

  • 60°

  • 75°

  • 30°

  • 45°


D.

45°

Let the required angle be x°. 
According to the question,
Supplement of x = 180° - x
Complement of x = 90° - x
According to the question,
180° - x = (90° - x) x 3
⟹   180° - x = 270° - 3x
⟹   3x - x = 270° - 180° = 90°
⟹   2x = 90°,  ⟹ x = 45°

   


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