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Mathematics

Grade9

Easy

Question

The angle between the north and west directions is ______.

120°
90°
45°
180°

hint Hint:

Total angle between two intersecting lines = 360 $degree$

The correct answer is: 90°

Total angle between two intersecting lines = 360 $degree$
$angle 1 space plus space angle 2 space plus space angle 3 space plus space angle 4 space equals space 360 degree angle 1 space equals space angle 3 space a n d space angle 2 space equals space angle 4 space left parenthesis space A l t e r n a t e space I n t e r i o r space a n g l e s right parenthesis 2 angle 2 space plus space 2 angle 3 space equals space 360 degree angle 2 space plus space angle 3 space equals space 180 degree S i m i l a r l y space comma angle 1 space plus space angle 4 space equals space 180 degree T h u s comma space angle 1 space equals space angle 2 space equals space angle 3 space equals space angle 4 space equals space 90 degree T h u s comma space t h e space a n g l e space b e t w e e n space t h e space n o r t h space a n d space w e s t space d i r e c t i o n s space i s space 90 degree.$

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