Mathematics
Grade9
Easy

Question

Number of acute angles in a right triangle are ____________.

  1. 2
  2. 1
  3. 0
  4. 3

The correct answer is: 2


    T h e r e space a r e space t w o space a c u t e space a n g l e s space i n space a space r i g h t minus a n g l e d space t r i a n g l e.

    I n space a space r i g h t minus a n g l e d space t r i a n g l e comma space t h e space m e a s u r e space o f space o n e space a n g l e space i s space 90 degree.
N o w comma space t h e space s u m space o f space a l l space t h e space a n g l e s space o f space a space t r i a n g l e space i s space 180 degree

L e t apostrophe s space c o n s i d e r space t h e space t r i a n g l e space t o space b e space triangle A B C.
H e n c e comma
angle A space plus space angle B space plus space angle C space equals space 180 degree
90 degree space plus space space angle B space plus space angle C space equals space 180 degree
space angle B space plus space angle C space equals space 180 degree space minus space 90 degree
space angle B space plus space angle C space equals space 90 degree

H e r e comma space n o space a n g l e space c a n space b e space 0 degree space i n space a space t r i a n g l e. space H e n c e comma space t h e space o t h e r space t w o space a n g l e s space o f space t h e space t r i a n g l e space w i l l space b e space a c u t e space a n g l e s.

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