If two sides of triangle are 120 and 20 find the third side of the triangle..
Answers
Correct Question :-
If two angles of triangle are 120° and 20° find the third angle of the triangle.
Given :-
Two angles are 120° and 20°
Find :-
Third Angle of triangle .
SoLuTioN :-
As we all know the angle sum property of the triangle .
Now ,
Sum of all three angles of triangle = 180°
So , we consider the Unknown angle as x
Then ,
120° + 20° + x = 180° { by A.S.P }
140° + x = 180°
x = 180° - 140°
x = 40° ( The third Angle )
Hence ,
The third Angle of the triangle is 40° .
Verification :-
As we know
Sum of interior angle of the triangle is 180°
So, Substituting the values
∠1 = 120°
∠2 = 20°
∠3 = 40°
Therefore ,
∠1 + ∠2 + ∠3 = 180°
120° + 20° + 40° = 180°
180° = 180°
Hence, Verified .
☆ Correct Question ☆
If two angles of triangle are 30 and 60. Find the third angle of the triangle.
☆ Solution ☆
Given
- Two angles of triangle are 30 and 60.
To find
- The third angle of the triangle.
Step-by-Step-Explaination
As we know that :
Sum of all angle = 180°
So,
Let the third angle be x
Then,
120° + 20° + x° = 180°
140° + x° = 180°
x = 180° - 140°
x = 40°
Hence, The third angle of triangle is 40°.