an acute angle of a right angle triangle is 33 degree find its acute oother angle
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Answer:
1st angle is 90 degree
2nd given is 33 degree
sum of angle of triangle is 180
so other acute angle is 180-90-33
180-123=57 degree
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Step-by-step explanation:
Given:-
An acute angle of a right angle triangle is 33°
To find:-
Find its acute other angle ?
Solution:-
Let the other acute angle be X°
Given that
An acute angle of a right angled triangle= 33°
Since it is a right angled triangle,
One angle must be 90°
We know that
The sum of all angles in a triangle is 180°
=> 90°+33°+X° = 180°
=> 123° + X° = 180°
=> X° = 180° - 123°
=> X° = 57°
(or)
Since one angle must be 90°
The other two acute angles are complementary angles.
Therefore, 33°+X° = 90°
=> X° = 90° - 33°
=> X° = 57°
The other acute angle = 57°
Answer:-
The required other acute angle of the right angled triangle is 57°
Used formulae:-
Angle Sum Property:-
- The sum of all angles in a triangle is 180°
Complementary angles:-
- The sum of two angles is equal to 90° then they are called Complementary angles.
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